Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 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.

Anonymous
Anonymous asked in Science & MathematicsPhysics · 1 month ago

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

Relevance
  • ?
    Lv 7
    1 month ago
    Favorite 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◄

  • oubaas
    Lv 7
    1 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

Still have questions? Get your answers by asking now.