Question

A wheel starts from rest and accelerates with const
ant angular acceleration to an angular velocity of
15 revoluhons per second in 10 seconds. Calculate the
angular acceleration and angulare which the wheel
has rotated at the end of 2 second​

Answer 1

28 revoluhons per second

Answer 2

solution: Given,

initial angular velocity (w1)=0

final angular velocity (w2) =2πf=2×3.14×15=94.2rad/sec

time(t)=10second

now,we have to find,

angular acceleration(a)=?

angle which wheel has rotated in 2 sec (thita)=?

then,

angular aceleration(a)=(w2-w1)/t=94.2/10=9.42rad/sec^2

also,

(thita)=w1t+1/2at^2=(0+9.42×2×2)/2=18.84radian