Accelerated Physics
Circular Motion
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Review for Circular Motion Test
1.
Write the formulas for this unit. (horizontal)
Ac= T= Fc =
Fc= V= T=
f=
f=
µ=
(vertical top)
Fc =
(vertical bottom)
Fc= V=
T= T=
2.
Speeding along in your car, you enter a curve with a radius of 50 m and a velocity of 15 m/s.
What is centripetal acceleration?
3.
A carnival ride has a centripetal acceleration of 0.75 m/s 2 . You measure the velocity to be 15 m/s. What is the radius of the curve?
4.
A carousel has a radius of 3.5 m. If the carousel takes 6 seconds to complete a rotation, what is the centripetal acceleration felt by the rider?
5.
A toy car on a circular track accelerates at 13 m/s 2 . If the race track has a radius of 2.5 m, how long does it take the car to make one trip around the track?
6.
If a ball on a string can make 16 revolutions in 3.1 seconds, what is the period and frequency?
7.
A 900kg car traveling at 20 m/s rounds a curve with a radius of 45m. a.
What is the centripetal force necessary to keep the car in the curve? b.
What is providing the centripetal force? c.
If the road is dry and the coefficient of friction is 0.95, will the car make the curve? d.
If the road is wet and the coefficient of friction is 0.80, will the car make the curve? e.
What is the minimum coefficient of friction required for the car to make the curve?
8.
A 125 kg man is on the “Gravitron.” The ride has a radius of 2.75 m. At top speed, the riders make 4 revolutions every 7 seconds when the floor is dropped. What is the centripetal force required to keep the rider going in a circle?
9.
A length of rope can just support a weight of 145 N without breaking. a.
At what speed can this rope be used to whirl a 3 kg mass in a horizontal circle with a radius of 2.3 m? b.
What is the period of this motion?

10.
A 60 kg teenager is on the swing ride. The chair moves in a horizontal circle with a radius of 14 m and a velocity of 7.5 m/s. a.
What is the centripetal force required to keep the teen moving in a circle? b.
What is the horizontal component of the tension? c.
What is the vertical component of the tension in the chain? d.
What is the tension in the chain? e.
What is the angle the chain makes with the vertical? f.
What force does his seat exert on him? g.
What is his force factor (g’s)?
11.
During an airshow, an F-16 flies at a speed of 250 m/s. the plane makes a sweeping turn in a flat horizontal circle with a radius of 1950 m. Use an 80 kg rider and determine a.
The force the pilot feels. b.
The g’s he’s pulling. c.
The angle the plane makes with the horizontal.
12.
An object with a mass of 3.5 kg is whirled around in a vertical circle with a radius of 1.5m with a constant velocity of 6.5 m/s. Calculate the maximum and minimum tension in the string.
13.
An amusement park ride spins passengers in a giant vertical circle. The radius of the circle is 8.2 m and the ride makes 5 rotations in 17 seconds. Use a 55 kg rider for the following questions: a.
What is the period of the ride? b.
What is the frequency of the ride? c.
What is the velocity of the ride? d.
What is the centripetal force? e.
What is the force exerted on the rider by the seat at the top of the vertical circle? f.
What is the force factor (g’s) at the top? g.
What is the force exerted on the rider by the seat at the bottom of the vertical circle? h.
What is the force factor (g’s) at the bottom? i.
At what velocity would the rider feel weightless at the top? (Minimum velocity to keep the rider in the circle)
14.
The stunt driver with a mass of 85 kg is moving downhill with a speed of 17 m/s. He then enters a circular loop of radius 8 m and just barely (just enough to keep him in the loop) completes the loop. Find height above ground the stunt driver m 17 m/s
R must begin. (hint: find critical velocity. Then use conservation of energy)
15.
A spring loaded launcher shoots a 4 kg ball horizontally along a frictionless track into a vertical circle with a radius of 2.75 m. If the spring launcher has a spring constant of 1400 N/m, how far should the spring be compressed for the ball to just make it around the loop?