Answer:
Explanation:
Given that,
Initial Angular velocity w=500rpm
Converting from rpm to rad/s
1rev =2πrad
1minutes =60secs
500rpm=500rev/mins
w = 500×2π/60
wi=52.36rad/s
The final angular velocity wf=0rad/s
Time to stop is t=2.6sec
We want to find angular acceleration α
Using the equation of angular motion
wf = wi + αt.
0 = 52.36 + 2.6α
-52.36=2.6α
α = -52.36/2.6
α = -20.14rad/s²
The angular acceleration is negative because it is decelerating.
Then, α=20.14rad/s²
Answer:
Explanation:
Given:
Initial angular velocity, wi = 500 rpm
Converting from rom to rad/s,
500 rev/min × 2pi rad/1 rev × 1 min/60s
= 52.36 rad/s
Final angular velocity, wf = 0 rad/s
Time, t = 2.6 s
Using equations of angular motion,
wf = wi + αt
α = (52.36 - 0)/2.6
= 20.138 rad/s^2
= 20.14 rad/s^2
