Yahoo Answers is shutting down on 4 May 2021 (Eastern Time) and, as of 20 April 2021 (Eastern Time), the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
A gyroscope slows from an initial rate of 48.8 rad/s at a rate of 0.786 rad/s2.?
(a)
How long does it take (in s) to come to rest?
___s
(b)
How many revolutions does it make before stopping?
___rev
2 Answers
- ?Lv 71 month agoFavourite 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◄
- ?Lv 71 month ago
(a)
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
(b)
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
