Starting from rest a wheel of radius 20 cm attends a speed of 200 rpm in 4 in four minutesFind its angular acceleration as you Ming it to be uniform what is the angular displacement of the wheel during this time?
Answers
Answer:
The angular acceleration is 50 rad/s²
The angular displacement of the wheel during this time is 2512.8 rad
Explanation:
Given that,
Radius = 20 cm
Speed = 200 r/m
Time = 4 min
(a). We need to calculate the angular acceleration
Using equation of motion
Put the value into the formula
We need to calculate the angular velocity
Using formula of angular velocity
Put the value into the formula
We need to calculate the average velocity
Using formula of average velocity
Put the value into the formula
(b). We need to calculate the angular displacement of the wheel during this time
Using equation of motion
Put the value into the formula
Hence, (a). The angular acceleration is 50 rad/s².
(b). The angular displacement of the wheel during this time is 2512.8 rad.
Learn more :
Topic : angular acceleration