A flywheel is a device used to store rotational energy. If the moment of inertia
Practice Questions
Q1
A flywheel is a device used to store rotational energy. If the moment of inertia of the flywheel is I and it rotates with an angular velocity ω, what is its rotational kinetic energy? (2020)
(1/2)Iω^2
(1/4)Iω^2
(1/3)Iω^2
(1/5)Iω^2
Questions & Step-by-Step Solutions
A flywheel is a device used to store rotational energy. If the moment of inertia of the flywheel is I and it rotates with an angular velocity ω, what is its rotational kinetic energy? (2020)
Step 1: Understand that a flywheel stores energy by rotating.
Step 2: Know that the moment of inertia (I) is a measure of how much mass is distributed in the flywheel.
Step 3: Recognize that angular velocity (ω) is how fast the flywheel is spinning.
Step 4: Learn the formula for rotational kinetic energy, which is K.E. = (1/2)Iω^2.
Step 5: Plug in the values of I (moment of inertia) and ω (angular velocity) into the formula to find the rotational kinetic energy.
Rotational Kinetic Energy – The energy possessed by an object due to its rotation, calculated using the formula K.E. = (1/2)Iω^2, where I is the moment of inertia and ω is the angular velocity.
Moment of Inertia – A measure of an object's resistance to changes in its rotation, dependent on the mass distribution relative to the axis of rotation.
Angular Velocity – The rate of rotation of an object, typically measured in radians per second.
