1. When a point on the edge of a DVD (radius 6.0 cm) moves along an...
1. When a point on the edge of a DVD (radius 6.0 cm) moves along an arc of length 120 cm, through what multiple of π rad does the disk turn?
2. With an angular velocity of 3.4π rad/s, how much time is required to complete 11 complete revolutions?
3. The blades of a kitchen blender rotate counterclockwise at 2.2x10^4 rpm (revolutions per minute) a top speed. It takes the blender 2.1 seconds to reach this top speed after being turned on. What is the average angular acceleration of the blades?
4. A model train runs on a circular track with radius 1.5 m. Its tangential velocity is 1.3 m/s and it is accelerating with a tangential acceleration of 0.93 m/s^2. What is the magnitude of the train's overall acceleration? Find the angle between the overall acceleration and the centripetal acceleration.
Homework Answers
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1. When a point on the edge of a DVD (radius 6.0 cm) moves along
an...
A model train runs on a circular track with radius 1.5 m. Its tangential velocity is...
A model train runs on a circular track with radius 1.5 m. Its tangential velocity is 2.0 m/s and it is accelerating with a tangential acceleration of 0.90 m/s2. What is the magnitude of the train’s overall acceleration? Find the angle between the overall acceleration and the centripetal acceleration.
A train is rounding a circular curve whose radius is 1.89E+2 m. At one instant, the...
A train is rounding a circular curve whose radius is 1.89E+2 m. At one instant, the train has an angular acceleration of 1.21E-3 rad/s2 and an angular speed of 0.0544 rad/s. Find the magnitude of the total acceleration (centripetal plus tangential) of the train.
1. You prepare to make a fruit smoothie with a kitchen blender. The blender has ten...
1. You prepare to make a fruit smoothie with a kitchen blender. The blender has ten speed buttons with a top speed of 27.0 krpm (k is 1000). You step through the buttons speeding up the blades uniformly from rest to the top angular speed in a time 12.0 seconds. a. Find the average angular acceleration of the blender blades. b. Through how many revolutions has the blade assembly turned while reaching top speed? 2. Two light ropes support a...
A wheel 1 m in radius starts rotating from rest with a constant angular acceleration of...
A wheel 1 m in radius starts rotating from rest with a constant angular acceleration of 4 rad/s2 At t = 2 s find: a) the angular speed of the wheel; b) the tangential speed of the wheel at the rim; c) the centripetal and tangential acceleration of the wheel at the rim; d) the angular displacement.
Determine : A. It's angular speed .Units :rad/s B.The tangential speed at a point 3 cm...
Determine :
A. It's angular speed .Units :rad/s
B.The tangential speed at a point 3 cm from the centre .Units
:m/s
C.The radial acceleration of a point on the rim .Units :rad/s
squared
D.The arc length that a point on the rim moves in 2 s .Units
:m
A disc 9 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine:
A DVD (radius 6.0 cm) is spinning freely with an angular velocity of 1150 rpm when...
A DVD (radius 6.0 cm) is spinning freely with an angular velocity of 1150 rpm when a bug drops onto and sticks to the DVD a distance 4.4 cm from the center. If the DVD slows to 900 rpm, what is the ratio of the bug's mass to the DVD's mass? (Ignore the effect of the hole in the center of the DVD.) mbug mOVD
Problem 1: The wheel shown has a radius of 20 cm, and rolls without slipping. It...
Problem 1: The wheel shown has a radius of 20 cm, and rolls without slipping. It starts at 6 = 3 rad/s when 0 = 0 and is given an angular acceleration a = (0.50) rad/s2, where Ois in radians. When the wheel has traveled 2 revolutions, determine: a. The angular velocity of the wheel b. The velocity of point B (center of wheel) C. The velocity of point C (top of wheel) d. The angular acceleration e. The acceleration...
1. An 800 kg car travels around the edge of a circular track of radius 400...
1. An 800 kg car travels around the edge of a circular track of radius 400 m. At one point, the car accelerates around the track, increasing its speed from 40 m/s to 60 m/s over the course of 5 s. At the instant that the car reaches 50 m/s find (a) its angular velocity (b) its radial acceleration, (c) the centripetal force acting on the car, (d) the tangential acceleration of the car, and (e) the magnitude of the...
A tire on a truck with a 25-cm radius is rotating as the truck moves along...
A tire on a truck with a 25-cm radius is rotating as the truck moves along a road at 45 mph. The truck then applies its brakes so that the truck come to rest over a time of 5 seconds. Angular acceleration is assumed. A.) Calculate the magnitude of the angular acceleration of the tire during this time period in rad/s^2 B.) Calculate how many total revolutions the tire experienced during this time period. C.) If the tire has a...
(a) What is the tangential acceleration of a bug on the rim of a 6.0 in, diameter disk if the disk moves from rest...
(a) What is the tangential acceleration of a bug on the rim of a 6.0 in, diameter disk if the disk moves from rest to an angular speed of 79 rev/min in 5.0 s? 425 Your response differs from the correct answer by more than 100%, m/ s (b) When the disk is at its final speed, what is the tangential velocity of the bug? m/s (c) One second after the bug starts from rest, what is its tangential acceleration?...
1. You prepare to make a fruit smoothie with a kitchen blender. The blender has ten speed buttons with a top speed of 27.0 krpm (k is 1000). You step through the buttons speeding up the blades uniformly from rest to the top angular speed in a time 12.0 seconds. a. Find the average angular acceleration of the blender blades. b. Through how many revolutions has the blade assembly turned while reaching top speed? 2. Two light ropes support a...
A wheel 1 m in radius starts rotating from rest with a constant angular acceleration of 4 rad/s2 At t = 2 s find: a) the angular speed of the wheel; b) the tangential speed of the wheel at the rim; c) the centripetal and tangential acceleration of the wheel at the rim; d) the angular displacement.
Determine :
A. It's angular speed .Units :rad/s
B.The tangential speed at a point 3 cm from the centre .Units
:m/s
C.The radial acceleration of a point on the rim .Units :rad/s
squared
D.The arc length that a point on the rim moves in 2 s .Units
:m
A disc 9 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine:
A DVD (radius 6.0 cm) is spinning freely with an angular velocity of 1150 rpm when a bug drops onto and sticks to the DVD a distance 4.4 cm from the center. If the DVD slows to 900 rpm, what is the ratio of the bug's mass to the DVD's mass? (Ignore the effect of the hole in the center of the DVD.) mbug mOVD
Problem 1: The wheel shown has a radius of 20 cm, and rolls without slipping. It starts at 6 = 3 rad/s when 0 = 0 and is given an angular acceleration a = (0.50) rad/s2, where Ois in radians. When the wheel has traveled 2 revolutions, determine: a. The angular velocity of the wheel b. The velocity of point B (center of wheel) C. The velocity of point C (top of wheel) d. The angular acceleration e. The acceleration...
1. An 800 kg car travels around the edge of a circular track of radius 400 m. At one point, the car accelerates around the track, increasing its speed from 40 m/s to 60 m/s over the course of 5 s. At the instant that the car reaches 50 m/s find (a) its angular velocity (b) its radial acceleration, (c) the centripetal force acting on the car, (d) the tangential acceleration of the car, and (e) the magnitude of the...
(a) What is the tangential acceleration of a bug on the rim of a 6.0 in, diameter disk if the disk moves from rest to an angular speed of 79 rev/min in 5.0 s? 425 Your response differs from the correct answer by more than 100%, m/ s (b) When the disk is at its final speed, what is the tangential velocity of the bug? m/s (c) One second after the bug starts from rest, what is its tangential acceleration?...
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