A rotating flywheel can be used to store energy. If it is required to store 1.00 × 106 J of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in kg m2?Single choice

Question Image
A

6.25

B

12.5

C

25.0

D

50.0

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In this experiment, the moment of inertia of a bike wheel is measured?

Question textIn this experiment, you are going to determine the moment of inertia of a system from the following variables;[math: m] the mass hanging from a pulley (kg)[math: r] the radius of the pulley (m)[math: α] the angular acceleration of the system (radians per second squared, typed "alpha" without the quotation marks)Correctly input the formulae for each of the following quantities. You will use these formulae in your lab.[math: a], linear acceleration, [math: =] [input] Your last answer was interpreted as follows: [math: r⋅α]The variables found in your answer were: [math: [α,r]] [math: T], Tension, [math: =] [input] Your last answer was interpreted as follows: [math: m⋅(g−r⋅α)]The variables found in your answer were: [math: [α,g,m,r]] [math: τ], Torque (typed "tau") [math: =] [input] Your last answer was interpreted as follows: [math: τ⋅r]The variables found in your answer were: [math: [r,τ]] [math: I], the moment of inertia: [math: =] [input] Please answer all parts of the question.Check Question 1

A rotating flywheel can be used to store energy. If it is required to store 1.00 × 106 J of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in kg m2?

Use polar coordinates  to compute the moment of inertia of a disk of radius R and uniform density 𝜌 in terms of its total mass and radius R.   1) 𝑀 𝑅 2) 1 2 𝑀 𝑅 2 3) 3 4 𝑀 𝑅 4) 3 4 𝑀 𝑅 2  

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