Question

NEED HELP ASAP- Please show work

The angular position of an object is given by θ = 4t3 +10t −40 , where θ is in radians and t is in seconds what is:

(a) (5 points) The angular velocity at t = 2 s?

(b) (5 points) The angular acceleration at t = 2 s?

Answer 1

Look at work

Step-by-step explanation:

Θ= 4t^3+10t-40

a) In order to find ω, we need to find displacement so plug in t=2 to find Θ.

Θ= 4*8+20-40=12

use ω=Θ/t

Plug in values

ω=6 rad/s

b) In order to find α we use ω/t.

Plug in values

α=6/2= 3 rad/s^2