An object moves in a circle of radius R at constant speed with a period T.If you want to change only the period in order to cut the object's acceleration in half,the new period should be
A) T/4.
B) T/2.
C) T/ .
D) T .
E) 4T.

Question

An object moves in a circle of radius R at constant speed with a period T.If you want to change only the period in order to cut the object's acceleration in half,the new period should be
A) T/4. 
B) T/2. 
C) T/ . 
D) T . 
E) 4T.

Quizplus · Accepted Answer

The acceleration of an object moving in a circle of radius R with constant speed v is given by a = v^2/R.
Since we want to cut the acceleration in half, we need to reduce v by a factor of √2, so the new speed v' = v/√2. We can find the new period T' by using the formula for the speed of an object moving in a circle, v = 2πR/T:
v' = v/√2
2πR/T' = v/√2
T' = T/(2/√2) = T/√2
Therefore, the new period should be T/√2, which is closest to choice D, T 11ea83ea_695e_6086_aeff_c75d588f8482_TB6394_11.

An Object Moves in a Circle of Radius R at Constant