Question

A body on the circular orbit makes an angular displacement given by ∅(t)=2t^2+5t+5. If time t is in seconds, calculate the angular velocity at t=2s

Answer 1

Angular Velocity at 2 s= 13 rad/s

Step-by-step explanation:

∅(t)=2
`t^(2)` + 5t + 5

where represents angular displacement at any given time t

Angular Velocity (ω)=
`\frac{\textrm{d ∅(t) }}{\textrm{dt}}`

ω=4t+ 5

Putting in t=2

ω=8+5=13 rad/s