You have a (disk-shaped) grindstone with a mass of 100 kg and a radius of 0.32 m. Initially, it is turning at 150 rpm. You press a steel axe head against the grindstone with a radial force of 40 N to sharpen it. Calculate the torque acting on it .

Question

Physics

Jerry Valentine

12 February, 08:32

You have a (disk-shaped) grindstone with a mass of 100 kg and a radius of 0.32 m. Initially, it is turning at 150 rpm. You press a steel axe head against the grindstone with a radial force of 40 N to sharpen it. Calculate the torque acting on it .

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Answers (1)

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Nelson Hayes · Answer 1

T = 12.8 N*m

Explanation:

For calculate the torque we only have to follow the next equation:

T = FRd

where R is the radius of the disk, F the force to sharpen the steel axe and d is the lever arm

In this case the lever arm is equal to 1 because the force is exercised radially the d, So:

T = FRd

T = 40N (0.32 m) (1)

T = 12.8 N*m