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A gyroscope slows from an initial rate of 48.8 rad/s at a rate of 0.786 rad/s2.?
How long does it take (in s) to come to rest?
How many revolutions does it make before stopping?
- Favourite answer
a) t = ω/α = 48.8 rad/s / 0.786 rad/s² = 62.08651... ≈ 62.1 s◄
b) θ = ω(avg)t = (48.8/2)62.08651 = 1,514.910...rad
1,514.910 rad / 2π rad/rev = 241.105... ≈ 241 rev◄
How long does it take (t in s) to come to rest?
t = ω / α = 48.8 rad/s / 0.786 rad/sec^2 = 62.1 sec
How many revolutions n does it make before stopping?
angle Θ = α / 2*t^2 = 0.786/2*62.1^2 = 1,515 radians
n = Θ/2PI = 1.515 / 6.2832 = 241 revolutions
both answers with 3 sign. digits