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If a car accelerates at 1.50m/s^2 without skidding or slipping, and its tires have a diameter...

If a car accelerates at 1.50m/s^2 without skidding or slipping, and its tires have a diameter of 75.0cm, then what must the angular acceleration of the wheels be?

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Answer #1

In one revoltion of the wheel, center of mass of the wheel(car) , moves a distance 2.

velocity of the car

( velocity = radius X angular velocity) , differentiate the equation to obtain,

( car acceleration= radius X angular acceleration)

substitute the values.

=

= 4 rad/s2

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