Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
A solid body rotates about a stationary axis according to the law theta=at-bt^3,where a=6 rad/s and b=2 rad/s^3.Find the mean values of the angular velocity and acceleration over the interval between t=0 and the time,when the body comes to rest.
@ = at - bt3 ...............1
d@/dt = W = a-3bt2 ...............2
dW/dt = alfa = -6bt ............3
body comes to rest when angular velocity becomes 0
a - 3bt2 = 0
t = (a/3b)1/2
mean value of angular velocity = (@t - @0)/t
@0=0
@t= a(a/3b)1/2 - b(a/3b)3/2
= a(a/3b)1/2[1-1/3]
=(2a/3)(a/3b)1/2
mean value of angular velocity = 2a/3(a/3b)1/2/t = 2a/3 = 4rad/sec
now mean value of angular accleration = change in angular velocity/t = (Wt-W0)/t
at t=0 W=a , at T=t Wt = 0
mean value = a/t = (3ab)1/2
=(36)1/2=6rad/sec2
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Win Gift vouchers upto Rs 500/-
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !