Question 1

A point is traveling with uniform circular motion on a circular path of radius r . Find ω  if  cm and  cm/sec. If the answer needs rounding, round it to three significant digits. __________ rad/sec

Accepted Answer

The answer of A point is traveling with uniform circular...

Question 2

Find the distance s covered by a point moving with linear velocity v for a time t if ​  ​ 
If the answer needs rounding, round it to three significant digits. __________ mi

Accepted Answer

The answer of Find the distance s covered by a...

Question 3

Find the angular velocity associated with the given rpm. 9.6 rpm If the answer needs rounding, round it to the nearest tenth. __________ rad/min

Accepted Answer

The answer of Find the angular velocity associated with the...

Question 4

Find the angular velocity associated with the given rpm.  ​ 
If the answer needs rounding, round it to three significant digits. __________ rad/min

Accepted Answer

The answer of Find the angular velocity associated with the...

Question 5

Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance s in an amount of time t , where ​  mi and  hr If the answer needs rounding, round it to three significant digits. __________ mph

Accepted Answer

The answer of Find the linear velocity of a point...

Question 6

Find the distance s covered by a point moving with linear velocity v for a time t if ​  ft/sec and  sec If the answer needs rounding round it to three significant digits. __________ ft

Accepted Answer

The answer of Find the distance s covered by a...

Question 7

The San Francisco cable cars travel by clamping onto a steel cable that circulates in a channel beneath the streets. This cable is driven by a large 12-foot-diameter pulley, called a sheave (see the figure). The sheave turns at a rate of 17 revolutions per minute. Find the speed of the cable car, in miles per hour, by determining the linear velocity of the cable. (1 mi = 5,280 ft)​  ​ 
If the answer needs rounding, round it to the nearest hundredth. __________ mph

Accepted Answer

The answer of The San Francisco cable cars travel by...

Question 8

A cable railway had a 14-foot-diameter pulley to drive the cable (see the figure). In order to keep the cable cars moving at a linear velocity of 13 miles per hour, how fast would the pulley need to turn (in revolutions per minute)? (1 mi = 5,280 ft)​  ​ 
If the answer needs rounding, round it to the nearest tenth. __________ rpm

Accepted Answer

The answer of A cable railway had a 14-foot-diameter pulley...

Question 9

A wheel with radius r rotates at 13 rpm. Find v if  ft If the answer needs rounding, round it to the whole number. __________ ft/min

Accepted Answer

The answer of A wheel with radius r rotates at...

Question 10

The earth rotates through one complete revolution every 1,440 minutes. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 1,440 minutes. Find the angular velocity of a person standing on the equator. If the answer needs rounding, round it to five decimal places. __________ rad/min

Accepted Answer

The answer of The earth rotates through one complete revolution...

Question 11

Point P sweeps out central angle θ  as it rotates on a circle of radius r . Find the angular velocity of point P .  ​ 
If the answer needs rounding, round it to the whole number. __________ rad/hr

Accepted Answer

The answer of Point P sweeps out central angle θ...

Question 12

Point P moves with angular velocity  ω on a circle of radius r . Find the distance s traveled by the point in time t .  ​ 
If the answer needs rounding, round it to three significant digits. __________ ft

Accepted Answer

The answer of Point P moves with angular velocity  ω...

Question 13

Point P sweeps out central angle θ  as it rotates on a circle of radius r . Find the angular velocity of point P .  ​ 
If the answer needs rounding, round it to three significant digits. __________ rad/min

Accepted Answer

The answer of Point P sweeps out central angle θ...

Question 14

Point P moves with angular velocity ω  on a circle of radius r . Find the distance s traveled by the point in time t .  ​ 
If the answer needs rounding, round it to the whole number. __________ m

Accepted Answer

The answer of Point P moves with angular velocity ω...

Question 15

The figure below is a model of the Ferris wheel. The diameter of the wheel is 189 feet, and one complete revolution takes 14 minutes. Find the linear velocity of a person riding on the wheel. Give your answer in miles per hour and round to the nearest hundredth.  ​ __________ mph

Accepted Answer

The answer of The figure below is a model of...

Question 16

A woman rides a bicycle for 2 hours and travels 26 kilometers (about 16 miles). Find the angular velocity of the wheel if the radius is 30 centimeters. 
If the answer needs rounding, round it to the whole number. __________ rad/min

Accepted Answer

The answer of A woman rides a bicycle for 2...

Question 17

Point P sweeps out central angle θ  as it rotates on a circle of radius r . Find the angular velocity of point P .  ​ 
If the answer needs rounding, round it to three significant digits. __________ rad/sec

Accepted Answer

The answer of Point P sweeps out central angle θ...

Quiz 3: Radian Measure

A point is traveling with uniform circular motion on a circular path of radius r . Find ω if cm and cm/sec. If the answer needs rounding, round it to three significant digits. __________ rad/sec

Find the distance s covered by a point moving with linear velocity v for a time t if If the answer needs rounding, round it to three significant digits. __________ mi

Find the angular velocity associated with the given rpm. 9.6 rpm If the answer needs rounding, round it to the nearest tenth. __________ rad/min

Find the angular velocity associated with the given rpm. If the answer needs rounding, round it to three significant digits. __________ rad/min

Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance s in an amount of time t , where mi and hr If the answer needs rounding, round it to three significant digits. __________ mph

Find the distance s covered by a point moving with linear velocity v for a time t if ft/sec and sec If the answer needs rounding round it to three significant digits. __________ ft

A wheel with radius r rotates at 13 rpm. Find v if ft If the answer needs rounding, round it to the whole number. __________ ft/min

Point P sweeps out central angle θ as it rotates on a circle of radius r . Find the angular velocity of point P . If the answer needs rounding, round it to the whole number. __________ rad/hr

Point P moves with angular velocity ω on a circle of radius r . Find the distance s traveled by the point in time t . If the answer needs rounding, round it to three significant digits. __________ ft

Point P sweeps out central angle θ as it rotates on a circle of radius r . Find the angular velocity of point P . If the answer needs rounding, round it to three significant digits. __________ rad/min

Point P moves with angular velocity ω on a circle of radius r . Find the distance s traveled by the point in time t . If the answer needs rounding, round it to the whole number. __________ m

The figure below is a model of the Ferris wheel. The diameter of the wheel is 189 feet, and one complete revolution takes 14 minutes. Find the linear velocity of a person riding on the wheel. Give your answer in miles per hour and round to the nearest hundredth. __________ mph

A woman rides a bicycle for 2 hours and travels 26 kilometers (about 16 miles). Find the angular velocity of the wheel if the radius is 30 centimeters. If the answer needs rounding, round it to the whole number. __________ rad/min

Point P sweeps out central angle θ as it rotates on a circle of radius r . Find the angular velocity of point P . If the answer needs rounding, round it to three significant digits. __________ rad/sec

Quiz 3: Radian Measure

A point is traveling with uniform circular motion on a circular path of radius r . Find ω if cm and cm/sec. If the answer needs rounding, round it to three significant digits. __________ rad/sec

Find the distance s covered by a point moving with linear velocity v for a time t if ​ ​ If the answer needs rounding, round it to three significant digits. __________ mi

Find the angular velocity associated with the given rpm. 9.6 rpm If the answer needs rounding, round it to the nearest tenth. __________ rad/min

Find the angular velocity associated with the given rpm. ​ If the answer needs rounding, round it to three significant digits. __________ rad/min

Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance s in an amount of time t , where ​ mi and hr If the answer needs rounding, round it to three significant digits. __________ mph

Find the distance s covered by a point moving with linear velocity v for a time t if ​ ft/sec and sec If the answer needs rounding round it to three significant digits. __________ ft

A wheel with radius r rotates at 13 rpm. Find v if ft If the answer needs rounding, round it to the whole number. __________ ft/min

Point P sweeps out central angle θ as it rotates on a circle of radius r . Find the angular velocity of point P . ​ If the answer needs rounding, round it to the whole number. __________ rad/hr

Point P moves with angular velocity ω on a circle of radius r . Find the distance s traveled by the point in time t . ​ If the answer needs rounding, round it to three significant digits. __________ ft

Point P sweeps out central angle θ as it rotates on a circle of radius r . Find the angular velocity of point P . ​ If the answer needs rounding, round it to three significant digits. __________ rad/min

Point P moves with angular velocity ω on a circle of radius r . Find the distance s traveled by the point in time t . ​ If the answer needs rounding, round it to the whole number. __________ m

The figure below is a model of the Ferris wheel. The diameter of the wheel is 189 feet, and one complete revolution takes 14 minutes. Find the linear velocity of a person riding on the wheel. Give your answer in miles per hour and round to the nearest hundredth. ​ __________ mph

A woman rides a bicycle for 2 hours and travels 26 kilometers (about 16 miles). Find the angular velocity of the wheel if the radius is 30 centimeters. If the answer needs rounding, round it to the whole number. __________ rad/min

Point P sweeps out central angle θ as it rotates on a circle of radius r . Find the angular velocity of point P . ​ If the answer needs rounding, round it to three significant digits. __________ rad/sec

Find the distance s covered by a point moving with linear velocity v for a time t if If the answer needs rounding, round it to three significant digits. __________ mi

Find the angular velocity associated with the given rpm. If the answer needs rounding, round it to three significant digits. __________ rad/min

Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance s in an amount of time t , where mi and hr If the answer needs rounding, round it to three significant digits. __________ mph

Find the distance s covered by a point moving with linear velocity v for a time t if ft/sec and sec If the answer needs rounding round it to three significant digits. __________ ft

Point P sweeps out central angle θ as it rotates on a circle of radius r . Find the angular velocity of point P . If the answer needs rounding, round it to the whole number. __________ rad/hr

Point P moves with angular velocity ω on a circle of radius r . Find the distance s traveled by the point in time t . If the answer needs rounding, round it to three significant digits. __________ ft

Point P sweeps out central angle θ as it rotates on a circle of radius r . Find the angular velocity of point P . If the answer needs rounding, round it to three significant digits. __________ rad/min

Point P moves with angular velocity ω on a circle of radius r . Find the distance s traveled by the point in time t . If the answer needs rounding, round it to the whole number. __________ m

The figure below is a model of the Ferris wheel. The diameter of the wheel is 189 feet, and one complete revolution takes 14 minutes. Find the linear velocity of a person riding on the wheel. Give your answer in miles per hour and round to the nearest hundredth. __________ mph

Point P sweeps out central angle θ as it rotates on a circle of radius r . Find the angular velocity of point P . If the answer needs rounding, round it to three significant digits. __________ rad/sec