An automobile tire has a radius of 0.344 m, and its center moves forward with a linear speed of v = 20.1 m/s. (a) determine the angular speed of the wheel. (b) relative to the axle, what is the tangential speed of a point located 0.135 m from the axle?

The angular speed and tangential speed are 58.69 rad/s and 7.92 m/s.

Explanation:

Given that,

Radius = 0.344 m

Speed v= 20.1 m/s

(I). We need to calculate the angular speed

Firstly we will calculate the time

Using formula of time

The angular velocity of the tire

Now, using formula of angular velocity

(II). We need to calculate the tangential speed of a point located 0.135 m from the axle

The tangential speed

Where,

r = distance

= angular velocity

Put the value into the formula

Hence, The angular speed and tangential speed are 58.69 rad/s and 7.92 m/s.

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