go-round is initially spinning at and comes to a stop in 1 minute. How many revo
ID: 1783106 • Letter: G
Question
go-round is initially spinning at and comes to a stop in 1 minute. How many revolutions does it make in this time? 2. A roller coaster starts from rest a height h above the lowest point on the track. After rolling down the first hll, the cars roll up another hill whose top^ is circular. The radius of this circle is R = 20m. Take g = 10m/s2 and ignore friction. (a) What is the maximum speed the cars can /i have at the top of the hill and remain on the track? (b) What is the maximum safe starting height h that keeps the cars from leaving the track?Explanation / Answer
here,
1)
intial angular speed , w0 = 2 rev/s
w0 = 12.56 rad/s
time taken , t = 1 min
t = 60 s
let the angular accelration be alpha
0 = w0 + alpha * t
- 12.56 = alpha * 60
alpha = - 0.21 rad/s^2
the angle covered , theta = w0 * t + 0.5 * alpha * t^2
theta = 12.56 * 60 - 0.5 * 0.21 * 60^2 = 375.6 rad
number of revolution , N =theta/2pi = 59.8 rev
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