Physics Help Please?

There is a merry go round that rotates at a rate of 6.20 revolutions per minute and you are riding on an animal 5.0 m from the axis of rotation. The angular velocity is 0.65 rad/s, the tangential speed is 3.25 m/s, and the centripetal acceleration is 2.11 m/s^2. The carousel slows down so the tangential acceleration is now -0.250 m/s^2.

1. What is the tangential velocity in m/s 3.0 seconds after the carousel begins to slow down?

2. What is the centripetal acceleration in m/s^2 3.0 seconds after the carousel begins to slow down?

3. What is the magnitude of your total acceleration 3.0 seconds after the carousel begins to slow down?

Thank you so much! I worked out all the numbers to the first part, but now I'm stuck when the carousel starts slowing down.

4 Answers

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  • NCS
    Lv 7
    4 weeks ago
    Best Answer

    1. You are given the initial tangential velocity v, the deceleration a, and the time.

    final velocity V = v + a*t

    2. Use V from part 1: centripetal a_c = V² / R

    3. Total acceleration = √(a² + a_c²)

    where a was given as -0.250 m/s².

    Hope this helps!

  • 4 weeks ago

    We know that V = ωr = 0.65rad/s*5m = 3.25m/s

    mV²/r = the outward force so the outward acceleration 

    F/m = a = V²/r = 3.25²/5 = 2.1125m/s²

    a = αr = -0.25 so α = -0.05 = -1/20 rad/s²

    ω = ωi + αt = 0.65 -1/20 *3 = 0.5rad/s = V/r = V/5

    V = 2.5rad/s <<<<< 1)

    V²/r = 25/4 * 1/5 = 25/20 = 5/4 = 1.25m/s²  <<<<< 2)

    Total acceleration at 3s = √(0.25²+1.25²) = 1.27  <<<< 3)

  • Anonymous
    4 weeks ago

    Convert tangential velocity to acceleration, square result. Simple.

  • 4 weeks ago

    Do your own research and homework. Thank you so much! You will not learn if we answer. 

    • Johnny4 weeks agoReport

      I have been working on this, trust me. There is the whole first part I worked out that I didn't show, I have just been working on this part for over an hour and I'm stuck. I've tried my textbook, online, Khan Academy, anything. I just need a general idea of how to continue.

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