pat666 said:Homework Statement
Consider a particle of mass = 19.0 revolving around an axis with angular speed . The perpendicular distance from the particle to the axis is = 0.500 .
Homework Equations
I=mr^2
K=0.5Iw^2
The Attempt at a Solution
I=4.75
K=1796 which is 0.5*4.75*27.5^2
i know that w is right, this is one of those stupid mastering physics questions.
pat666 said:19kg and 0.5m sorry the units were in a picture and didnt copy properly.
pat666 said:sorry i should really have checked this before posting. i want to know the kinetic energy of the rotating particle
pat666 said:i had to figure that out in an earlier question and the answer is definitely 27.5rad/s. but the KE is not what i calculated.
pat666 said:That is the entire question, i calculated I from the given info and omega is definitely right?
pat666 said:ok this is my fault w is actually 55rad/s v is 27.5m/s sorry
Moment of inertia is a measure of an object's resistance to changes in its rotational motion. It is often referred to as the rotational equivalent of mass in linear motion.
The moment of inertia is calculated by multiplying the mass of an object by the square of its distance from the axis of rotation. It is represented by the symbol I and has units of kg*m^2.
Angular speed, also known as angular velocity, is a measure of how fast an object rotates around its axis. It is represented by the symbol ω and has units of radians per second (rad/s).
The moment of inertia affects the angular speed of an object in rotational motion. A larger moment of inertia requires more torque to produce the same angular acceleration, resulting in a slower angular speed. This relationship is described by the equation ω = τ/I, where τ is the torque applied to the object.
Moment of inertia and mass are similar in that they both measure an object's resistance to motion, but they apply to different types of motion. Mass measures an object's resistance to linear motion, while moment of inertia measures its resistance to rotational motion.