Answer:
[tex]\Delta t = 0.687\ s[/tex]
Explanation:
given,
Angular speed of the tire = 32 rad/s
Displacement of the wheel = 3.5 rev
Δ θ = 3.5 x 2 π
= 7 π rad
now,
Time interval of the car to rotate 7π rad
using equation
[tex]\omega_{avg} =\dfrac{\Delta \theta}{\Delta t}[/tex]
[tex]\Delta t=\dfrac{7\pi}{32}[/tex]
[tex]\Delta t = 0.687\ s[/tex]
Time taken to rotate 3.5 times is equal to 0.687 s.
