16. Figure shows a sports car capable of reaching 100 km/h speed in under 3 seconds (t < 3s). During such an acceleration, an average force of magnitude 5823 N is applied on the front wheel from its center of mass (assuming constant). The tire carries an average mass of 300 kg and the rotational inertia of the wheel is 20.82 kg.m?. The tire radius is 32 cm. If the wheels roll smoothly during the motion, find a) the linear and angular acceleration of the wheel, b) the direction and magnitude of the frictional force on the wheel.
16. Figure shows a sports car capable of reaching 100 km/h speed in under 3 seconds (t < 3s). During such an acceleration, an average force of magnitude 5823 N is applied on the front wheel from its center of mass (assuming constant). The tire carries an average mass of 300 kg and the rotational inertia of the wheel is 20.82 kg.m?. The tire radius is 32 cm. If the wheels roll smoothly during the motion, find a) the linear and angular acceleration of the wheel, b) the direction and magnitude of the frictional force on the wheel.
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Transcribed Image Text:16.
Figure shows a sports car capable of reaching 100 km/h speed in under 3 seconds (t < 3s). During such
an acceleration, an average force of
magnitude 5823 N is applied on the front
wheel from its center of mass (assuming
constant). The tire carries an average mass of
300 kg and the rotational inertia of the wheel
is 20.82 kg.m?. The tire radius is 32 cm. If
the wheels roll smoothly during the motion,
find
a) the linear and angular acceleration of the wheel,
b) the direction and magnitude of the frictional force on the wheel.
Answers: a) a =l11.57 m/s, a =36.15 rad/s"; b) f;=2352.4 N, rightward/ opposite to the direction of motion
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