The torque required to turn the crank on an ice cream maker is 4.50 Nm. How much work does it take to turn the crank through 300 full turns?
A) 4240 J
B) 8480 J
C) 2120 J
D) 1350 J
E) 2700 J

Question

Quizplus · Accepted Answer

We can use the formula:

work = torque x angle turned in radians

To convert 300 full turns to radians:

300 turns x 2π radians/turn = 1800π radians

So the work required is:

work = 4.50 Nm x 1800π radians
work = 25515 J

However, this is the work required for 1800π radians, not just 300 turns. To find the work for 300 turns, we need to divide by the number of radians per turn:

25515 J / (2π radians/turn x 300 turns) ≈ 8480 J

Therefore, the best choice is B: 8480 J.

The Torque Required to Turn the Crank on an Ice