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2 years ago

6

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.

1 answer:

JulijaS [17]2 years ago

6 0

We are given
m = 50 kg
<span>ω0 = 0.3 rad/s
</span><span>v0 = 5 m/s
r = 6 m

We are asked for the horizontal force.
Doing a force balance:
Fc = Fh
m</span>ω²r = <span>Fh</span>
<span>Substituting
Fh = 50 kg (0.3 rad/s) (6 m)
Fh = 90 N</span><span />

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