The torque required to turn the crank on an ice cream maker is $4.50 \mathrm {~N} \cdot \mathrm { m }$ How much work does it take to turn the crank through 300 full turns?
A) 2700 J
B) 4240 J
C) 2120 J
D) 1350 J
E) 8480 J

Question

The torque required to turn the crank on an ice cream maker is $4.50 \mathrm {~N} \cdot \mathrm { m }$ How much work does it take to turn the crank through 300 full turns?
A)  2700 J
B)  4240 J
C)  2120 J
D)  1350 J
E)  8480 J

Quizplus · Accepted Answer

Work is calculated as torque multiplied by the angular displacement. The angular displacement for 300 turns is $300 \times 2\pi$ radians. Thus, work = $4.50 \, \mathrm{N \cdot m} \times 300 \times 2\pi \approx 8480 \, \mathrm{J}$.

The Torque Required to Turn the Crank on an Ice 4.50 N⋅m4.50 \mathrm {~N} \cdot \mathrm { m }4.50 N⋅m

The Torque Required to Turn the Crank on an Ice $4.50 \mathrm {~N} \cdot \mathrm { m }$