a car moving at a speed of 72 kmph‐ ¹ the diameter of it's wheel is 0.5 m if the wheels are stopped by applying brakes. calculate angular retardation produced by the brakes
Answers
Answered by
0
Answer:
Given speed of the vehicle=72㎞/hr
=72×
18
5
=20m/s
radius of the wheel =
2
0.5
=0.25
initial angular velocity (ω
0
)=
0.25
20
=80rad/s
angle covered after applying brakes=20×2π=40π
let the angular retardation be −αrad/s
2
final angular momentum ω=0
putting formula ω
2
=ω
0
2
−2αθ
⇒0=ω
0
2
−2×α×θ
⇒ω
0
2
=2×α×θ
⇒80
2
=2×α×40×π
⇒α=
80×π
80
2
⇒α=
π
80
putting the value of π=3.14
α=25.47rad/s
2
so retardation is −25.477≅−25.5 rad/s
2
Similar questions