In: Physics
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Mass of the motorcycle wheel = M = 12 kg
Inner radius of the wheel = R1 = 0.255 m
Outer radius of the wheel = R2 = 0.32 m
Moment of inertia of the wheel = I
Moment of inertia of an annular disc is given by,
I = 1.00455 kg.m2
Force exerted on the wheel by the drive chain = F = 2250 N
Radius at which the drive chain exerts the force = R = 4.8 cm = 0.048 m
Angular acceleration of the wheel =
= 107.5 rad/s2
Tangential acceleration of a point on the outer edge of the tire = at
at = 34.4 m/s2
Initial angular velocity of the wheel = 1 = 0 rad/s (At rest)
Final angular velocity of the wheel = 2 = 83.5 rad/s
Time taken by the wheel to reach 83.5 rad/s = T
T = 0.777 sec
a) Angular acceleration of the wheel = 107.5 rad/s2
b) Tangential acceleration of a point on the outer edge of the tire = 34.4 m/s2
c) Time taken by the wheel to reach an angular velocity of 83.5 rad/s = 0.777 sec