kg The figure below shows a side view of a car tire before it is mounted on a wh
ID: 2245868 • Letter: K
Question
kg
The figure below shows a side view of a car tire before it is mounted on a wheel. Model it as having two sidewalls of uniform thickness 0.615 cm and a tread wall of uniform thickness 2.50 cm and width 19.4 cm. Assume the rubber has a uniform density 1.10 times 103 kg/m3. Find its moment of inertia about an axis perpendicular to the page through its center. Find the net torque on the wheel in the figure below about the axle through O, taking a = 5.00 cm and b = 23.0 cm. (Assume that the positive direction is counterclockwise.)Explanation / Answer
A)the volume is V = 0.615 x 2.50 x 19.4 cm^3 = 0.615 x 2.50 x 19.4 x 10^-6 m^3
the density is p = 1.10 x 10^3 kg/m^3
the mass is
m = p x V
the moment of inertia is
I = (1/2)mr^2
where r = 0.615 x 10^-2 m
B)the net torque is
T = I x alpha
where I is moment of inertia and alpha is angular acceleration
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