If a discus thrower rotates through the last 45 degrees of a turn in .11s and the distance from the axis of rotation to the center of the discus is 1.22m, calculate the average linear velocity of the discus.
To calculate the average linear velocity of the discus, you need to use the formula for linear velocity:
Linear velocity = distance / time
In this case, the distance is the circumference of the circular path followed by the discus during the rotation. To find the circumference, you can use the formula:
Circumference = 2 * π * radius
The radius is the distance from the axis of rotation to the center of the discus, which is given as 1.22 meters.
Substituting the values into the formula, we have:
Circumference = 2 * 3.14 * 1.22
Next, divide the circumference by the time taken to complete the rotation, which is given as 0.11 seconds.
Linear velocity = Circumference / time
Substituting the values, we have:
Linear velocity = (2 * 3.14 * 1.22) / 0.11
Now you can calculate the average linear velocity of the discus:
Linear velocity ≈ 6.731 m/s
Therefore, the average linear velocity of the discus is approximately 6.731 m/s.