wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A particle rotates along a circle of radius R=2 m with an angular acceleration α=π4rad/s2 starting from rest. Calculate the magnitude of average velocity of the particle over the time it rotates a quarter circle.

Open in App
Solution

Step 1: Time required to cover quarter circle (t) [Refer Fig.]
Suppose the particle goes from A to B as shown in the figure.
Angular displacement, θ=π2
Initial angular speed, ωo=0

Since Angular acceleration (α) is constant
Applying equation of motion in rotation
θ=ωot+12t2
π2=0+12π4t2
t=2s

Step 2: Average velocity calculation
|Vavg|=Displacementtime
From figure, Displacement(shortest distance between A and B) =R2+R2 =2R

|Vavg|=2R2 s=222m/s=1m/s

Hence the magnitude of average velocity of the particle over the time it rotates a quarter circle is 1m/s.

2107675_1136251_ans_a27446d53ecd42e4b344762095df1ce1.png

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Relative
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon