Shown is a top view of a 50-kg person walking on a large horizontal disk, which rotates with constant angular velocity ω0 = 0.3 rad/s. He walks at a constant speed v0 = 5 m/s along a straight line painted on the disk. What is the magnitude of the horizontal force exerted on him by the disk when he is 6 m from the center of the disk? A person is shown walking from the center of a disk.

Question

Natasha Thornton

Physics

23 April, 09:31

Shown is a top view of a 50-kg person walking on a large horizontal disk, which rotates with constant angular velocity ω0 = 0.3 rad/s. He walks at a constant speed v0 = 5 m/s along a straight line painted on the disk. What is the magnitude of the horizontal force exerted on him by the disk when he is 6 m from the center of the disk? A person is shown walking from the center of a disk.

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Answers (1)

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Jessica Livingston · Answer 1

We are given

m = 50 kg

ω0 = 0.3 rad/s

v0 = 5 m/s

r = 6 m

We are asked for the horizontal force.

Doing a force balance:

Fc = Fh

m ω²r = Fh

Substituting

Fh = 50 kg (0.3 rad/s) (6 m)

Fh = 90 N