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Circular Motion
There must be a net inward force:
Centripetal Force
FC = maC aC =^ v^2 R
Centripetal acceleration
v = 2πR T R
v
v
v
v
Rope Skip Gravitron Cars Car Turning(has a curse) R = 30 m The motorcycle rider does 13 laps in 150 s. f = T 1 What is his velocity? What is his aC? If the mass is 180 kg, what is his FC? What is his period? Frequency? [11.5 s, 0.087 Hz] [16.3 m/s] [8.9 m/s^2 ] [1600 N]
The child rotates 5 times every 22 seconds...
What is the period? What is the velocity? What is the acceleration? Which way does it point? 60 kg What must be the force on the child? [4.4 s] [2.86 m/s] [4.1 m/s^2 ] [245 N] Revolutions Per Minute (n)^2 πR 60 s v = An Ipod's hard drive rotates at 4200 RPM. Its radius is 0.03 m. What is the velocity in m/s of its edge?
Airplane Turning v = 232 m/s aC = 7 g's What is the turn radius? [785 m = 2757 ft]
(520 mph)
Other circles
13 o^ 0.85^ m
2 kg
What is the velocity? What is the period? Banked turns (frictionless road) R = 220 m, v = 32 m/s. What must be the θ? N Nsinθ Ncosθ [0.66 m/s]
[1.83 s]
θ What is the turn radius of the plane (v = 53 m/s)? R =?
10 o
Vertical Circles
5 m
v = 14 m/s
If the car maintains a constant speed, what is the normal force at
the top of the loop (m = 2.5 kg)?
[73.5 N]
What is the minimum speed needed for the car to make the loop
without falling?
What is the maximum speed the car can go and not lose contact
with the road at A? If it maintains that speed, what will be its
normal force at B?
m = 750 kg R = 100 m R = 100 m
[7 m/s]
[vA = 31.3 m/s]
[NB = 14,700 N]
The skater feels 25% heavier at the bottom. What is his velocity (at the bottom)? [3.13 m/s]
