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A particle is located on the edge of a rotating wheel with a uniform angular speed of 4 radians per second. If the particle is 0.3 meters from the center of the wheel, calculate the tangential speed of the particle.

Question

A particle is located on the edge of a rotating wheel with a uniform angular speed of 4 radians per second. If the particle is 0.3 meters from the center of the wheel, calculate the tangential speed of the particle.

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Solution

The tangential speed (v) of a particle moving in a circular path is given by the formula:

v = rω

where: r is the radius of the circular path (in meters), and ω is the angular speed (in radians per second).

In this case, the radius r is 0.3 meters and the angular speed ω is 4 radians per second.

Substituting these values into the formula gives:

v = 0.3 m * 4 rad/s = 1.2 m/s

So, the tangential speed of the particle is 1.2 meters per second.

This problem has been solved

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