What is the correlation between torque, moment of inertia, and angular acceleration

Q: A thin disk rotates about an axis that goes through its center perpendicular to its plane. The…

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Q: A wheel has a radius of 0.1m and a moment of inertia of 4.00 kg-m2 starts from rest and accelerates…

A: Given data:  Radius (r) = 0.1 m Moment of inertia (I) = 4.00 kg.m2  Initial angular velocity (ω0) =…

Q: A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an…

A: Given Data:- Mass of the merry-go-round is M=120 kg Radius of the merry-go-round is R=1.80 m Initial…

Q: In a high school swim competition, a student takes 2.0 s to complete 2.5 somersaults. Determine the…

A: Given : Time t = 2 s No. of somersaults = 2.5 angular displacement : θ=2πr=2×3.14×2.5=15.7 radians

Q: A spherical shell with a mass of 0.43 and a radius of 0.27 is to roll across the level ground under…

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Q: A boy and a girl are riding on a merry-go-round which is turning at a constant rate. The boy is near…

A: Let the distance of the boy from the center is a and the distance of the girl from the center is b.…

Q: Calculate the moment of inertia of the illustrated section with respect to the x-axis. Answer: 5.375…

A: Consider the left side section and right side section as section 1 and 3, respectively and the…

Q: disc is rotating with ω =10rad/s about a fixed central axis which is perpendicular to its plane. The…

A: Given: P=1000 kW m = 10 tons 90% of this is transmitted to a machine operating at 80% efficiency.

Q: a) Calculate the linear acceleration of a car, the 0.310-m radius tires of which have an angular…

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Q: uppose you're an field engineer inspecting an offshore wind turbine. You're in a boat approaching a…

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Q: *58. Go A dragster starts from rest and accelerates down a track. Each tire has a radius of 0.320 m…

A: Radius, r = 0.320 m Linear displacement, d = 384 m Angular speed, ω=288 rad/s

Q: If initial angular velocity is 0 deg/s (w), which of the following situations would result in the…

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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: ar is traveling along a road, and its engine is turning over with an angular velocity of +190 rad/s.…

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Q: A bowling ball has a mass of 7.00 kg, a moment of inertia of 2.8 x 10-2 kg-m², and a radius of 0.100…

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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 playground merry-go-round has Moment of Inertia of 500 kg-m2 and a radius of 4.5 m. Four children,…

A: The initial angular momentum is, Li=Iiωi=500 kg·m20.44 rad/s=220 kg·m2/s The final moment of inertia…

Q: Bubba Watson is driving a golf ball off the tee. His downswing takes 0.50 s from the top of the…

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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.