The wheel is composed of a 10-kg hoop stiffened by four thin spokes, each with a mass of 2 kg. A hori- zontal force of 40 N is applied to the wheel initially at rest. Calculate the angular velocity of the wheel after its center has moved 3 m. Friction is sufficient to prevent slipping.

Question

24-03-2022
Physics

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The wheel is composed of a 10-kg hoop stiffened by four thin spokes, each with a mass of 2 kg. A hori- zontal force of 40 N is applied to the wheel initially at rest. Calculate the angular velocity of the wheel after its center has moved 3 m. Friction is sufficient to prevent slipping.

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okpalawalter8 okpalawalter8 · Answer 1 · 2022-03-29T12:13:26+02:00

For a wheel composed of a 10-kg hoop stiffened by four thin spokes and each with a mass of 2 kg, the angular velocity is mathematically given as

w=1.165 rad/s

What is the angular velocity of the wheel after its center has moved 3 m.?

Generally, the equation for the angular velocity is mathematically given as

[tex]V = \sqrt{(F * r/m)[/tex]

Therefore

[tex]V= \sqrt{(40 x 0.3 / 98.1)[/tex]

V= 0.35 m/s

Where

w=v/r

w= 0.35/0.3

w=1.165 rad/s

In conclusion, the angular velocity is

w=1.165 rad/s