rebeccc said:Homework Statement
To throw the discus, the thrower holds the discus with a fully outstretched arm and makes one revolution as rapidly as possible to give maximum speed to the discus at release. The diameter of the circle in which the discus moves is about 1.7m.
If the thrower takes 1.0s to complete one revolution, starting from rest, what will be the speed of the discus at release?
Homework Equations
The Attempt at a Solution
I found the angular acceleration to be 2pi rad/s. I just don't know how to find the speed from there..
Angular velocity is a measure of the rate of change of angular displacement of a rotating object. It is usually measured in radians per second (rad/s) or degrees per second (deg/s).
Angular velocity is a measure of the rate of change of angular displacement, while linear velocity is a measure of the rate of change of linear displacement. Angular velocity is measured in rotational units, while linear velocity is measured in units of distance per time.
The angular velocity of a discus is calculated by dividing the angular displacement of the discus by the time it takes to complete one rotation. This can be represented by the formula ω = Δθ/Δt, where ω is the angular velocity, Δθ is the change in angular displacement, and Δt is the change in time.
The mass of the discus does not directly affect its angular velocity. However, a heavier discus may require more force to achieve the same angular velocity as a lighter discus due to its inertia. In other words, a heavier discus may require more torque to rotate at the same speed as a lighter discus.
The angular velocity of a discus can be affected by factors such as the initial force applied to it, the mass and distribution of the discus, air resistance, and the surface on which it is thrown. Other factors such as wind speed and direction can also have an impact on the discus's angular velocity.