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 solid ball of mass 6 kg, rolls down a hill that is 9 meters high. What is the rotational KE at the…

A:

Q: A washing machine turns on and starts from rest. The spin cycle starts and the machine steadily…

A:

Q: What is the moment of inertia of the fan

A: A fan consists of three blades and a disc. So the moment of inertia of a fan is equals to the sum of…

Q: A solid cylinder starts from rest and rolls down an incline that is 6.50 m high without slipping.…

A:

Q: A 2 kg ball with a radius of 0.35 meters is initially at rest. The rotational inertia equation for…

A: We know that Torque= Ta=Fr

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

A:

Q: Two buckets of mass m1 = 18.5 kg and m2 = 12.5 kg are attached to the ends of a massless rope which…

A:

Q: A flywheel in the form of a uniformly thick disk of radius 1.78 m has a mass of 25.6 kg and spins…

A: This question can be solved using the formulas: ω = ω0 + αt and τ = Iα The answer is contained in…

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: A 944 kg car has four 8.33 kg wheels. When the car is moving, what fraction of the total kinetic…

A:

Q: An ice skater starts to spin with her arms outstretched. She then gently brings her arms in, and…

A: It states that when no external torque applied to the body, its angular momentum remains constant.…

Q: initially at rest. The rotational inertia of the pulley is 0.47 mr2. A 10 kg box hangs from a rope…

A:

Q: The wheel in the figure has eight equally spaced spokes and a radius of 45 cm. It is mounted on a…

A: Radius ( R ) = 45 cm Angular speed = 2.4 rev/s Length of arrow ( L ) = 25 cm = 0.25 m

Q: In the figure, two 9.20 kg blocks are connected by a massless string over a pulley of radius 1.20 cm…

A:

Q: A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley,…

A: The mass of the disk is 10.0 kg. The radius of the disk is 21.0 cm. The distance traveled by the…

Q: A hollow sphere with a mass of 2.1 kg and radius of 0.15 m rolls without slipping down an incline of…

A: Given, mass of hallow sphere m = 2.1 Kg Radius of hallow sphere r = 0.15 m Incline angle θ=35∘…

Q: A 15-kg box sits on a lever arm at a distance of 5 meters from the axis of rotation. What distance…

A: Let consider,Net torque=0⇒m1×d1×g-m2d2g=0where, m1=15 kg; m2=10 kgd1=5 m; d2=x mg=9.8 ms-2put all…

Q: Rank the following in order of increasing angular speed: an automobile tire rotating at 2.00 *…

A:

Q: In the figure, two 9.40 kg blocks are connected by a massless string over a pulley of radius 1.60 cm…

A: GIVEN : mass of blocks(m1=m2) =9.4 kg  radius of pully(r) =1.6cm rotational inertia(I)…

Q: the torque be in

A: We are given a wheel. It is speeding up by rotating clockwise. We have to find in what direction…

Q: A 3.0 kg bag resting on the ground is tied to a vertical cord. The cord of negligible mass passes…

A:

Q: A hoop and a disk, both of 0.72- m radius and 2.0- kg mass, are released from the top of an inclined…

A:

Q: A counterweight of mass m is attached to a light cord that is wound around a pulley as shown in the…

A:

Q: Two buckets of mass m¡ = 21.1 kg and m2 = 13.1 kg attached to the ends of a massless rope which…

A: Given:- m1 = 21.1 kg  m2 = 13.1 kg  The mass of pully mp = 9.13 kg  The radius of the pully rp =…

Q: A wheel radius of 30.0 cm is rotating at a rate of 2.20 revolutions every 0.0910 a. What is the…

A: Answer:-  Given  Radius (r) = 30.0 cm = 0.30 m  Angular speed (w) = (2.20 rev)/(0.0910 s)  w =(…

Q: What is the moment of inertia: A solid disk with a mass of 5.0 kg and a radius of 2.0 m A 0.50 kg…

A: a) Moment of inertia of disk =12MR2 =10 kgm2 b) IT can be treated as a point mass.  Moment of…

Q: If you have ever driven a truck, you likely found that it had a steering wheel with a larger…

A:

Q: A bicycle with 57.80 cm diameter wheels is traveling at 20.60 km/hr. At what angular speed do the…

A: Radius of bicycle wheel (r)= diameter/ 2  r= 57.80/2 = 28.9 cm = 0.289 m  Speed of bicycle ( v ) =…

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: A pulley with radius of 12 cm pulls a chain as it rotates. If the chain is moving at 4.2 cm per…

A: We know, The relationship between angular velocity (ω) and linear velocity (v) of particle in…

Q: A new truck has tires with a diameter of 32.1 inches. The tires have a tread-life warranty of 58,000…

A: The objective of the question is to find out how many radians the tires will rotate through within…

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…

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.