Determine the magnitude of the angular acceleration and applied torque if a uniform disk has the following characteristics: m=12kg, diameter=0.25m and accelerates from rest of 5.30 rad/s in 6 seconds.

Q: In the rotational motion experiment, a student wanted to measure the moment of inertia I of a disc,…

A: τ=Torque=9 NmI=Moment of inertiaα=Angular acceleration=20.55 rad/s2

Q: A particular motor can provide a maximum of 110.0 N · m of torque. Assuming that all of this torque…

A:

Q: • As an ice skater begins a spin, his angular speed is 3.04 rad>s.After pulling in his arms, his…

A: The initial angular momentum,   The final angular momentum,

Q: A solid, uniform disk lies on a horizontal table, free to rotate about a fixed vertical axis through…

A:

Q: A wheel initially has an angular velocity of 36 rad/s but after 4.0s its angular velocity is 24…

A: Given data:  Initial angular velocity (ωi) = 36 rad/s Time (t) = 4.0 s Final angular velocity (ωf) =…

Q: A figure skater is spinning with an angular velocity of +13.3 rad/s. She then comes to a stop over a…

A: Given data: Initial angular velocity of the skatter is, ω0=+13.3 rad/s Final angular velocity of the…

Q: Is the following statement true or false? An object with no net torque applied on it will NOT…

A: The expression for the torque is,

Q: what torque is reuired to uniformly rotate a disk with moment of inertia 0.7kgm^2 up to 2 rad/s in 5…

A:

Q: What is the torque about the origin of the force F (8.0i - 3.0j + 2.0k) N if it is applied at the…

A:

Q: A merry-go-round accelerates from rest to 0.63 rad/s in 33 s. Assuming the merry-go-round is a…

A:

Q: A merry-go-round accelerates from rest to 0.63 rad/s in 39 s Assuming the merry-go-round is a…

A: Given, Initial angular speed, Final angular speed, Time, Mass of merry-go-round, Radius of…

Q: The blades of a ceiling fan have a moment of inertia of 0.16 kg.m2 and an angular acceleration of…

A: Given data, moment of inertia of the blades = 0.16 kg.m2 angular acceleration = 7.0 rad/s2

Q: A merry-go-round accelerates from rest to 0.63 rad/srad/s in 39 ss. Assuming the merry-go-round is a…

A: Given: Initial angular velocity = 0 rad/s. Final angular velocity (v) = 0.63 rad/s. Time taken to…

Q: In terms of rotational inertia, explain why: It's hard to walk without bending your knees.

A:

Q: A disc of 5cm radius and 1kg mass begins to move from rest and accelerates uniformly under the…

A: The moment of inertia of a solid disk is given by I=12MR2 Here, M is the mass and R is the radius.…

Q: Calculate the moment of inertia of a thin uniform rod that is 1.45 m long and has a mass of 5 kg…

A:

Q: A constant torque is applied to a rigid body whose moment of inertia is 4.0 kg-m2 around the axis of…

A: Given data The MOI is, I= 4.0 kg-m2 The time is, t=10.0 s The initial angular velocity is, Ѡo=0.0…

Q: A wheel of inner radius r, = 13.4 cm and outer radius r, = 35.0 cm shown in the figure below is free…

A: The inner radius of the wheel is r1=13.4 cm=0.134 m The outer radius of the wheel is r2=35 cm=0.35 m…

Q: A thin-walled hollow cylinder and solid cylinder of the same radius were given the same net torque…

A: Torque is defined as the rate of change of angular momentum: τ→ =dL→dt = Iα→I = moment of inertiaα…

Q: A merry-go-round starts at rest and accelerates up to an angular speed of 1.9 rad/s in 5.0 seconds.…

A: Given information: Here, m is the mass of the marry-go-round, d is the diameter of the…

Q: A uniform disk has a mass of 0.911 K g and a radius of 1.371 m. Starting from rest , it accelerates…

A:

Q: If the friction produces a torque of 5 Nm what maximum angular acceleration can the blade have if a…

A: The torque acting on an object at a distance r from the axle or pivot point is calculated by  using…

Q: An object has a moment of inertia of 10.82 k g ⋅ m 2, and a torque of 19.1 N ⋅ m is applied on it.…

A:

Q: If a rigid body has a constant angular acceleration, what is the functional form of the angular…

A:

Q: A figure skater is spinning with an angular velocity of +10.7 rad/s. She then comes to a stop over a…

A:

Q: . If moment of inertia of an object is 2:5kgm2 about its rotation axis. How much torque (constant)…

A: GIven data The moment of inertia is given as I = 2.5 kgm2. The angular speed is given as N = 400…

Q: A constant torque is applied to a rigid body whose moment of inertia is 4.40 kg-m2 around the axis…

A:

Q: A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above…

A: angular acceleration, α = 30 rad/s2 moment of inertia, I = 0.75 kg m2  lever arm length, r = 1.9 cm…

Q: A baseball bat has a length of 1.1 m and a mass of 1.8 kg. What torque will be required to give it…

A:

Q: A small grinding wheel has a moment of inertia of 4.0 x 10-5 kg ⋅ m2. What net torque must be…

A: Given: Moment of inertia of the wheel = 4.0 x 10-5 Kg.m2 Angular acceleration = 150 rad/s2

Q: You have a solid cylinder, a hoop, a solid sphere, and a hollow sphere all with the same mass and…

A: The relation between the torque and angular acceleration is τ =Iα where τ =torque, I =moment of…

Q: A figure skater is spinning with an angular velocity of +16.4 rad/s. She then comes to a stop over a…

A: write the equation of motion, ω2=ω02+2αθ

Q: the knee extensors insert on the tibia at an angle of 30 degrees (from the longitudinal axis of the…

A: Given an object of mass m, an effective radius r can be defined for an axis through its center of…

Q: A constant torque of 17.6N · m is applied to a grindstone for which the moment of inertia is 0.151kg…

A: Torque, T=17.6 Nm Moment of inertia, I=0.151 kgm2 Initial angular velocity,  Number of revolutions,

Q: During the launch from a board, a diver’s angular speed about her center of mass changes from zero…

A:

Q: A torque of 4.93 Nm is applied to an object with a moment of inertia of 6.15 kg m^2. What is the…

A: Answer:-  Given  Torque (T) = 4.93 Nm  Moment of inertia(I) = 6.15 kg m2 Angular acceleration = ?…

Q: A smooth rod of mass M, length L= 2 (m), is rotated at one end with a constant angular velocity w =…

A:

Q: Complete the following statement: When a net torque is applied to a rigid object, it always produces…

A: Torque is a physical quantity which has tendency to rotate a body. Torque is rotational equivalent…

Q: A 0.65-m-diameter solid sphere can be rotated about an axis through its center by a torque of 11.0 m…

A: Given data The diameter of the solid sphere is given as d = 0.65 m. The torque is given as T = 11…

Q: Rod of moment inertia I=2.5kgm^2 experiences a torque of 737.2 N-cm. What is its angular…

A: Given : Moment of inertia (I) = 2.5 kg.m2 Torque (τ) = 737.2 N-cm = 7.372 N-m

Q: A merry-go-round accelerates from rest to 0.72 rad/s in 37 s. Assuming the merry-go-round is a…

A: From kinematics equation for rotations:

Q: M, a solid cylinder (M=2.35kg, R=0.113 m) pivots on a thin, fixed, frictionless bearing. A string…

A: "As per the guidelines i solved the first three subpart". 1. The torque due to motion of the solid…