Amotorcyclist is traveling along a road and accelerates for 4.50s to pass another cyclist. the angular acceleration of each wheelis +6.70 rad/s^2, and, just after passing, the angular velocity ofeach is +74.5 rad/s, where the plus signs indicate . what is the angular displacement of each wheel duringthis time?
a. +221 rad
b. +131 rad
c. +335 rad
d. +355 rad
e. +267 rad

Angular displacement of the wheel,

Explanation:

It is given that,

Angular acceleration of the wheel,

Final speed of the wheel,

Time taken, t = 4.5 s

Initially, it is required to find the initial angular velocity of the wheel. Using the first equation of rotational kinematics as :

is the initial speed of the wheel

Let is the angular displacement of each wheel during this time. Using the second equation of motion as :

So, the angular displacement of each wheel during this time is 267 radian.

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