Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
The Moment of inertia is increased by the factor of 3.
- Rotational inertia, or moment of inertia, is the rotational equivalent of mass; this is the quantity we want to measure to see how much energy is needed to accelerate the wheel.
- We can measure the weight of a wheel relatively easily, but it is not necessarily true that the lightest wheel will have the smallest moment of inertia or vice versa. If we have a rigid body rotating with an angular velocity Ω about a fixed axis , each particle in it will have a certain amount of kinetic energy.
- A particle of mass m with radius r from the axis of rotation moves in a circle with radius r with angular velocity Ω around this axis. So it has a linear velocity v = Ωr and its kinetic energy K is ½ mv2 = ½ mΩ2r2.
- The total kinetic energy is the sum of the kinetic energies of its particles, and each particle in a solid moves with the same angular velocity Ω (it moves the same number of angular degrees per unit time), but the radius r can be different for different particles. So the total kinetic energy is
K = ½ (m1r12 + m2r22 + …)Ω2 = ½ (∑miri2)Ω2
The moment of inertia of the wheel is given as
I = MR2
if M' = 2M and R' = 1.5R
then I' = M'R'2 = (2M)(1.5R)2 = 3.0 MR2 = 3I
so the factor is 3
To study about Moment of inertia -
https://brainly.com/question/6953943
#SPJ4
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.
