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A car of mass 8000 kg moves in a circular path of radius 10 m with a linear velocity of 50 m/s. What is the angular velocity of the car?

Question

A car of mass 8000 kg moves in a circular path of radius 10 m with a linear velocity of 50 m/s. What is the angular velocity of the car?

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Solution

The angular velocity (ω) can be calculated using the formula:

ω = v/r

where: v = linear velocity r = radius

Given: v = 50 m/s r = 10 m

Substituting the given values into the formula, we get:

ω = 50 m/s / 10 m = 5 rad/s

So, the angular velocity of the car is 5 rad/s.

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