A simple and practical understanding of conservation of momentum problems is given by the following: When a figure skater makes a jump, he increases his rotation speed by pulling together his arms and legs. This reduces his rotational inertia causing him to spin faster. If the initial spin rate of a figure skater is 1 RPM and he decreases his rotational inertia by half during the spin, what is his final spin rate?

Q: A uniform disk of mass 7 kg and radius 0.2 m is free to rotated about an axis perpendicular to its…

A: Given: The mass of the uniform disk is 7 kg. The radius of the uniform disk is 0.2 m. The magnitude…

Q: Jennifer decided to install a ceiling fan in the master bedroom. After a laborious installation, she…

A: initial angular speed (w) = 0 final angular speed = 120 rev/min  = 2 rev/sec  = 12.57 rad/s t = 20…

Q: A diver leaves the platform with her body straight. Her body is in a relatively slow rotation, with…

A: The rotation is about the centre of mass of the model, so the moment of inertia is,Substitute the…

Q: Problem: A 2.0 kg turntable with a 20 cm diameter spins at 100 rpm (ignore friction in the axle),…

A: (A) The figure shows the pictorial representation of the turntable.

Q: Please help: When a pitcher throws a curve ball, the ball is given a fairly rapid spin.  A. If a…

A: Given data: m=0.15 kgv=42 m/sω=43 rad/sr=3.7 cm Need to determine the rotational and translational…

Q: A spin bike is an indoor bike that is designed to duplicate the feeling of regular road cycling. A…

A: Given: The mass of the disk is m=12.5 kg. The radius of the disk is r-0.23 m. The mass of the ring…

Q: Every summer, your family goes to Callaway Gardens to see the acrobats in the Flying High Circus.…

A: Conservation of angular momentum: The angular momentum of a system is conserved if there is no net…

Q: A uniform disk of mass 19 kg and radius 0.6 m is free to rotated about an axis perpendicular to its…

A: Answer: Let the mass of the disk be M, the radius of the disk be R, the magnitude of the force…

Q: What is the magnitude of the angular momentum of a 500 g, 0.5 m long bar rotating at 60 rpm about an…

A: The expression for the required magnitude angular momentum is,

Q: A sanding disk with rotational inertia 0.0012 kg-m2 is attached to an electric drill whose  motor…

A:

Q: The yellow disk is initially rotating about its geometrical center at the angular speed w; rad/s. A…

A: The conservation of angular momentum is a fundamental principle in physics that states that the…

Q: A vinyl record spins freely on a frinctionless turntable.  The mass of the record is 0.10 kg, the…

A:

Q: A sanding disk with rotational inertia 3.5 x 103 kg-m² is attached to an electric drill whose motor…

A: When a rigid body is rotating about a fixed axis, then every point of the body rotates in a circle…

Q: A merry-go-round rotates around the vertical axis or rotation has no friction, its moment of inertia…

A:

Q: A sanding disk with rotational inertia 1.3 x 103 kg-m² is attached to an electric drill whose motor…

A:

Q: Figure (a) shows a disk that can rotate about an axis at a radial distance h from the center of the…

A: As per the graph, Rotational inertia at h = 0, IA = 0.250 Kg m2  Here, h = 0 shows that IA is moment…

Q: What is the magnitude of the angular momentum of a 300 g, 2.0 m long bar rotating at 100 rpm about…

A:

Q: A sanding disk with rotational inertia 0.0012 kg-m² is attached to an electric drill whose motor…

A:

Q: An ice skater is spinning on frictionless ice with her arms extended outward. She then pulls her…

A: The rotational kinetic energy is given as,Here, ω is the angular velocity of an ice skater and, I is…

Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…

A: The energy produced by the car, The radius of the flywheel, Mass of flywheel,

Q: Problem 7: Consider the 10.5 kg motorcycle wheel shown in the figure. Assume it to be approximately…

A:

Q: An aluminum cylinder of radius 12m, length of 20m, and thickness of 0.02m is spinning in space at…

A:

Q: After all the metal has unwound from the roller, the student measures the radius R and the angular…

A: Part (f) Basic Details According to the law of conservation of linear momentum, the momentum of the…

Q: A sanding disk with rotational inertia 5.1 x 10-3 kg-m² is attached to an electric drill whose motor…

A: Given:         Rotational inertia I = 5.1×10-3 kg m2           Torque τ = 38 N-m             time…

Q: Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 6.03…

A:

Q: What is the angular momentum of the disk after those rotations are complete, in kg m2/s?

A: Moment of Inertia The moment of inertia of a rigid body about an axis is defined as the sum of the…

Q: A solid uniform spherical boulder travels down a hill. At the top of the hill the boulder is rolling…

A: Given:

Q: A sanding disk with a rotational inertia of 1.2 x 10-3kgm2 is attached to an electric drill whose…

A: Given: The rotational inertia of the sanding disk is 1.2×10-3 kgm2. The motor delivers a torque of…

Q: Can you please help me answer the last three parts of this same problem. Question 4: What is the…

A: Given Data, Mass of torso and legs as a cylinder (M)=52 kg Radius of the cylinder (r)=0.1 m Mass of…

Q: A sanding disk with rotational inertia 9.8 x 103 kg-m² is attached to an electric drill whose motor…

A:

Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…

A: given that,Energy E = Mass of flywheel m = 34.8 kg Radius of flywheel R = 0.577 m, now we find the…

Q: You are in a tall building located near the equator. As you ride an elevator from the ground floor…

A: “Since you have asked multiple questions, we will solve the first question for you. If you  want any…

Q: A rope with a negligible mass has two blocks that are suspended over a pulley, m, and M, as shown in…

A: Apply Newton’s second law on both the masses and solve for the tensions (on the left side and the…

Q: Rotational quantities must be treated as vectors for general rotational motion, such as when the…

A: SOlution: Identify the direction of angular velocity.

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.