- #1
elemis
- 163
- 1
My workings are below :
Following the calculation of w I use v=wr where r= 3 and calculate the tangential velocity.
It's then easy to see that a speed of 340 (Mach 1) will be attained in 128 s
Is this correct ?
haruspex said:In your handwritten working, you've written omega instead of omega-dot, but otherwise it all looks correct.
elemis said:I don't understand you. Torque = Iw , correct ?
... and although the OP says "I use v=wr ", what has actually been used is a = αr.hms.tech said:No, it is
τ = Iα
where α is the angular acceleration
Moment of inertia is a measure of an object's resistance to changes in its rotation. It is dependent on the mass, shape, and distribution of mass of an object.
Swinging arms changes the distribution of mass in the body, which in turn affects the moment of inertia. When the arms are extended, the moment of inertia increases, making it more difficult to rotate the body.
In sports, moment of inertia is important because it affects an athlete's performance. A lower moment of inertia allows for quicker and more efficient movements, while a higher moment of inertia can slow down an athlete's performance.
Moment of inertia is calculated by multiplying the mass of each particle in an object by the square of its distance from the axis of rotation, and then adding all of these values together.
Moment of inertia can be manipulated by changing the shape and distribution of mass in an object. For example, by extending or pulling in the arms, an athlete can increase or decrease their moment of inertia, respectively.