Terms 1
What is the term for the velocity of an object moving in a circular path, tangent to the circle at any given point?
tangential velocity
Which force acts towards the center of the circular path in uniform circular motion?
Centripetal force
Find the period of a 10 Hz oscillation.
0.1 s
T = 1/f
A car drives around a curved track with a tangential speed of 18 m/s. Find the radius if the centripetal acceleration is 0.41 m/s^2
790 m
ac = vT2/R solve for R:
R = vT2/ac
A toy wheel is tied to a string a spun horizontally over Mr. Arrington's head. The toy makes 8 full laps in 6.2 seconds. If the force needed to keep the toy spinning in a 1.2 m radius circle is 0.63 N, find the mass of the toy wheel.
8 grams
The time required for one complete revolution in circular motion is called:
Period
The apparent outward force felt by an object in a rotating frame of reference is called:
Centrifugal "Force" (Inertial/Fictitious/Pseudo Force)
How many radians are there in a complete circle?
2π
A wheel has a diameter of 71 cm. If the centripetal acceleration of the wheel is 2.8 m/s^2, find the tangential speed of a point on the edge of the wheel.
1.00 m/s
R = (Diameter in meters) / 2 = .355 m
ac = vT2/R solve for vT:
vT = sqrt(ac*R)
A fly circles a column with an angular speed of 4.44 rad/s and a tangential speed of 2.22 m/s. What is the radius of the column?
0.5 m
How many times an object completes a circular path in one second is known as:
Frequency
SI Unit for centripetal force
Newtons
If an object moves 1/16th the way around a circle, what angle (in radians) has it moved through?
π/8
2π / 16 = π/8
Find the tangential velocity of a point on the edge of a 30 cm vinyl record that rotates at 1.3 Hertz.
1.22 m/s
R = (Diameter in meters) / 2 = .15 m
f = 1.3 Hz
vT = 2πRf
An aquarium has a radius of 59 meters. If your tangential acceleration going around it is 0.28 m/s^2, what would your angular acceleration be?
0.0047 rad/s^2
The type of acceleration that causes uniform circular motion.
Centripetal acceleration
SI unit of angular velocity
radians per second
or
per seconds
Find the frequency of a ball that flies past you 50 times in 12 seconds.
4.17 Hz
T = 12 s / 50
f = 1/T
A waterwheel built in Hamshire, Texas rotates continuously. The wheel's diameter is 14 meters. If the wheel rotates once every 12 seconds, what is the magnitude of centripetal acceleration of the wheel's edge?
1.92 m/s^2
R = 7 m, T = 12 s
vT = 2πR/T
ac = vT2/R
A tire is initially rolling at 6 rad/s when a force accelerates it for 4 seconds. If it rolls through an angle of 98 radians, find the angular acceleration that was applied.
9.25 rad/s^2
When a ball spinning on a string is released, in which direction will it fly?
Tangent to the circle at the point of release
Honors: SI Unit for angular acceleration.
Regular: T/F It is wrong to write a unit for radians
Honors: Radians per second squared or per seconds squared
Regular: False, units are optional
38 degrees to radians
0.663 rad
38 deg * π/180
A 65 kg woman rides her 250 kg motorcycle at 15 m/s in a circular path with a radius of 20 m. Find the force holding her in her circular path.
3544 N
m = 65 kg + 250 kg, vT = 15 m/s, R = 20 m
Fc = mvT/R
Holt 7F 4.
0.32 m