Linear Energy

 

Cool Discus Spin
In the discus throw, the speed of the discus as it exits the thrower's hand is dependent on Mechanical Energy. To understand the transfer of Mechanical Energy, we will assume a closed system with no friction.

We will examine the motion of the full spin of the discus throw.

At the beginning of the full spin, the thrower winds up their body like a spring, therefore storing Potential Energy. When it is time to execute the throw, the thrower begins to transfer the stored Potential Energy into Kinetic Energy. This is shown by the thrower gaining speed within the throwing circle. The Kinetic Energy from the thrower is then transferred into Translational and Rotational Energy of the discus, which is addressed in the Rotational Energy section.

The equation equivalence for the transfer of Potential Energy to Kinetic Energy in a closed system would be represented as such:

Conservation of Energy: conservation of energy

The variables used are:
variables
With the known variables of:
known variables
Giving the final equation of:
simplified linear
      energy
Which is another way to find the velocity of the discus as it is released from the thrower's hand!
Knowing this, the speed the discus is rotating can be calculated using rotational kinematics.

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picture link: http://images.fineartamerica.com/images-medium-large/discus-thrower-mike-raabe.jpg