Angular Displacement of a body is given by thete= 2t2+5t+3. Find angular velocity and angular acceleration

 

Asked by ananthi.baskae | 7th Sep, 2021, 09:18: AM

Expert Answer:

Angular displacement of body is given as,
θ= 2t2 + 5t +3  ...(1)
Angular velocity is given as, 
ω = dθ/dt 
Thus on differentiating (1) we get, 
ω = 4t + 5 rad/s ...(2) 
The angular acceleration is given as, 
alpha space equals space fraction numerator d omega over denominator d t end fraction
T h u s comma space
alpha space equals space fraction numerator d over denominator d t end fraction left parenthesis 4 t space plus space 5 right parenthesis space equals space 4 space r a d divided by s squared
 

Answered by Shiwani Sawant | 7th Sep, 2021, 10:13: AM