A high-speed flywheel in a motor is spinning at 450 rpm when a power failure suddenly occurs. The flywheel has mass 41.0 kg and diameter 72.0 cm. The power is off for 30.0 s and during this time the flywheel slows due to friction in its axle bearings. During the time the power is off, the lywheel makes 160 complete revolutions. For relaled oroblemsolving tips and strategies, you, may want to view a Video Tutor Solution.of Rotation: with constant angular acooleretion. seleon.

Q: The wheel on a grinder is a uniform disk of 8 cm radius and has a mass of 0.9 kg. It coasts to rest…

A: given: mass= 0.9 kg time, t=35 sec

Q: A wheel initially has an angular velocity of 10.0rad / s but it is slowing at a rate of 5.6 rad / (s…

A:

Q: If the turbine of the engine spins at an angular velocity of 270.748 radians per sec, what is the…

A: Given : Angular velocity (ω) = 270.748 radians per sec

Q: The propeller of a World War II fighter plane is 2.30 m in diameter. (a) What is its angular…

A: a. Angular velocity in radians per second is

Q: The armature of a motor is accelerated uniformly from rest to a rotational velocity of 600 rev/min…

A:

Q: A  go-cart with 15 cm radius wheels starts at rest and accelerates up to 15 mph in 15 s.  How far…

A:

Q: A turntable must spin at 33.6 rpm (3.52 rad/s) to play an old-fashione vinyl record. How much torque…

A: Here, we calculate the given as follow;

Q: The disk of a rotating cutter rotates about its central axis at 33.5 rev/min and takes 60 seconds to…

A:

Q: A wheel is delivering 400 W of power at 250 rpm. How much torque is needed to turn the wheel? Don't…

A: The given values are,

Q: Starting from rest, how many revolution would it take for its wheel to cover a total distance of…

A: Speed, v=3m/s Diameter of the wheel, d=4.6cm=0.046m Total distance, D=34.2Km= 34200m

Q: If the turbine of the engine spins at an angular velocity of 217.011 radians per sec, what is the…

A: Given data :Angular velocity is ω =217.011 rad/sec

Q: A bicycle has tires of radius 0.35 m. If the bicycle is traveling at a constant speed of 12 m/s, at…

A: Solution: Given that R = 0.35 m V = 12 m/s

Q: The disk of a rotating cutter cutter rotates about its central axis at 33.5 rev/min and takes 60…

A:

Q: A flywheel rotating at 12 rev/s is brought to rest in 5 s. The magnitude of the average angular…

A: The initial angular velocityof the flywheel,

Q: A flywheel slows from 600 to 400 rev/min while rotating through 40 revolutions. (a) What is the…

A:

Q: A clown balances a small spherical grape at the top of his bald head, which also has the shape of a…

A:

Q: For the pulley system shown below, the pulley has a radius of 15.4 cm. How fast (in rpm) must the…

A:

Q: the compact disk rotates from rest to 450 rev/min in 6.0 seconds. The average angular acceleration…

A: Initial angular velocity = 0 radsecFinal angular velocity = 450 revmintime = 6 sec

Q: Which rolls down an inclined plane faster, a hollow cylinder or a solid sphere? Both have the same…

A:

Q: fter being turned on, a turntable reaches its rated angular speed of 15.5 rpm in a time of 14.57 s.…

A:

Q: Calculate the angular speed of a flywheel making 48o revolutions per minute.

A:

Q: A bicycle has wheels with a 30-centimeter radius. If smaller wheels with a25-centimeter radius are…

A: Consider the radius of the bigger wheel be r1, the radius of the smaller wheel be r2, and the…

Q: The disk of a rotating cutter rotates about its central axis at 33.5 rev/min and takes 60 seconds to…

A: Given data: Initial angular velocity (ω0) = 33.5 rev/min Time (t) = 60 s Final angular velocity (ω)…

Q: On a rotating turntable, does rotational speed vary with the distance from the center?

A: Rotational speed of an object rotating around an axis is the number of turns of the object divided…

Q: A child sits at the edge of a merry-go-round (which can be thought of as a disk) that is rotating at…

A: Given : Initial angular speed of the Merry-go-round, w1 = 4 rad/s Initial moment of inertia of…

Q: On a rotating turntable, does tangential speed or rotational speed vary with distance from the…

A: Rotational speed is the number of turns made by the rotating object divided by time. It is specified…

Q: A cylinder rolls up an inclined plane, reaches some height and then rolls down (without slipping…

A: Whether the cylinder rolled up or down, the centre of mass and hence the point of contact of the…

Q: A torque of 50 Nm producing a counter clockwise rotation is applied to a wheel about its axle. A…

A: Applied torque (t) = 50 N.m Frictional torque (T) = 10 N.m Angular acceleration (α) = 2 rads2

Q: It is the property of the body to resist a rotation. A Moment of Inertia (B Rotational KE C Angular…

A: When a body try to rotate then it has a angular acceleration. and Moment of Inertia is the property…

Q: A person walks into a room and switches on the ceiling fan. Thefan accelerates with constant angular…

A: Given data The time taken to accelerate the fan is: t1 = 15 s The operating angular speed of the fan…

Q: Static Force Exerted by the Spring   Time to Complete 60 Revolutions 41 sec Angular Velocity of the…

A: Given : Time to Complete 60 Revolutions = 41 s Angular Velocity of the Rotating Mass, w = 9.2 rad/s…

Q: Whenever a helicopter has two sets of lifting blades, they rotate in opposite directions (and there…

A: For a helicopter having 2 sets of rotating blades its necessary to have their direction of rotation…

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.