4. A particle moves in a circle of radius 5m with tangential acceleration 50 m/s ^ 2 the angular acceleration is 1) 20rad / (s ^ 2) 2) 10 rad /s^ 2 3) 0.2rad / (s ^ 2) 4) 0.5rad / (s ^ 2) 200 rpm to 900 rpm in 5 second.
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Explanation:
Given : r=0.2 m, wo=2 rad/s, w
t =40 rad/s and t=19 s
Tangential acceleration a
t
=rα=r(
t
ω
t
−ω
0
)
a
t
=0.20×
19
40−2
=0.4rad/s
2
Centripetal acceleration
⇒a
c
=ω
2
r=(40)
2
(0.20)=320m/s
2
Ultimately ratio
a
t
a
c
=
0.4
320
=800
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