Units/Concepts
What are the units of tangential velocity?
m/s
A 30 kg child is spinning horizontally on a ride with a centripetal acceleration of 10 m/s^2. How many Newtons of force are acting on her?
300 Newtons
Centripetal acceleration always points towards what what part of a circle?
The center
When finding the tangential velocity, we use the typical velocity equation, v = d/t. However, we customize it for circular motion.
Name the equation we use for distance AND what we use for the time.
For distance: find the circumference (2*pi*r)
For time: Use period (P = (2*pi*r)/v))
What is angular velocity?
Angular velocity is the speed at which an angle changes
What are the units of Period?
Seconds
This is the velocity needed for a 2 kg ball to maintain a centripetal force of 32 N on a string of length 2m.
5.66 m/s
Alexis is in her Toyota Camry and trying to make a turn off an expressway at 19.0 m/s. The turning radius of the level curve is 35.0 m. Her car has a mass of 1240 kg. Determine the centripetal acceleration of the car.
10.31 m/s^2
Consider a car driving around a circular track with a radius of 50 metres. If the car is moving at an angular velocity of 2 radians per second, what would be the tangential velocity of the car?
100 m/s
A meatball with a radius of 15 cm is spinning with a tangential velocity of 3 m/s. What is its angular velocity?
20 rotations/second
What are the units of force?
Newtons
What is the acceleration of a 30 kg object being pulled in a circle with a force of 150 N?
5 m/s^2
Ms. Lee pushes a a .5 kg tetherball with 40 N. What is the tetherball's centripetal acceleration?
80 m/s^2
A manufacturer of CD-ROM drives claims that the player can spin the disc as frequently as 1200 revolutions per minute. What is the speed of the outer row of data that is located 5.6 cm from the center of the disc?
1.12 m/s
Ms. Lee is having the best dream of her life. She is walking around a giant doughnut, eating as she goes. it takes her 120 seconds to eat 3/4 of the doughnut (270 degrees). What is her angular velocity?
What are the units of centripetal acceleration?
m/s^2
A student is riding on a carousel at a speed of 4.0 m/s. If the Carousel has a radius of 5.0 m and the centripetal force is 240 N, what is the student’s mass?
75 kg
A phonograph record 30.0 cm in diameter rotates 33.5 times per minute. What is the centripetal acceleration of a point on its rim?
1.85 m/s^2
Ms. Lee is driving her car around a circular race track with a radius of 25 m. She travels 1/4 of the way (90 degrees) before coming to an abrupt stop. This takes her 3 seconds. How fast was she traveling?
13.089 m/s
Ms. Lee is driving her car around a circular race track with a radius of 50 m. She travels 1/2 of the way (180 degrees) before coming to an abrupt stop. This takes her 7 seconds. What was her angular velocity?
pi/7 rps or .449 rps
What are the units for angular velocity?
revolutions per second
A 905 kg test car travels around a 3.25 km circular track. If the magnitude of the centripetal force is 2140 N, what is the car’s speed?
109.87 m/s
The minute hand of a large clock is 0.50 m long.
A) Calculate its linear speed at its tip in meters per second.
(B) Calculate the centripetal acceleration of the tip of the hand.
A: (-0.000873 m/s)
B: (1.52 x 10-6 m/s2)
The tallest Ferris wheel in the world is located in Singapore. Standing 42 stories high and holding as many as 780 passengers, the Ferris wheel has a diameter of 150 meters and takes approximately 30 minutes to make a full circle. Determine the speed of riders (in m/s) on the Singapore Flyer.
0.26 m/s
Ms. Lee spins a basketball on her finger for 30 seconds. During this time, the ball spins approximately 65 times. What was the ball's angular velocity?
13.61 radians/second