An automobile traveling 88.0 km/h has tires of 72.0 cm diameter. (a) What is the angular speed of the tires about their axles

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Question:

An automobile traveling 88.0 km/h has tires of 72.0 cm diameter. (a) What is the angular speed of the tires about their axles

Answers

Answer:angular speed = 67.91 rad/sExplanation:Given that,The diameter of a tire, d = 72 cmThe radius of a tire, r = 36 cm = 0.36 mLinear speed of an automobile, v = 88 km/h = 24.45 m/sWe need to find the angular speed of the tires about their axles. The relation between angular speed and angular speed is given by :[tex]v=r\omega\\\\\omega=\dfrac{v}{r}\\\\\omega=\dfrac{24.45 }{0.36}\\\\\omega=67.91\ rad/s[/tex]So, the angular speed of the tire is 67.91 rad/s.

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