the linear speed of an object directed along the tangent to the object's circular path.

3 answers

The linear speed of an object directed along the tangent to the object's circular path is equal to the magnitude of the object's instantaneous velocity. This velocity is always tangent to the circular path and is constantly changing direction, but its magnitude is constant if the object is moving with uniform circular motion. The formula for linear speed is v = rω, where v is linear speed, r is the radius of the circular path, and ω is the angular velocity (in radians per second) of the object.
An object completes 1.5 circular orbits in half a minute.what is it's approximate angular velocity ?
We can use the formula:

angular velocity = (number of revolutions * 2π) / time

In this case, the number of revolutions is 1.5 and the time is 30 seconds:

angular velocity = (1.5 * 2π) / 30

angular velocity ≈ 0.314 radians per second

Therefore, the object's approximate angular velocity is 0.314 radians per second.