An experiment that can be used to measure the velocity of a bulletis to have two

Question

An experiment that can be used to measure the velocity of a bulletis to have two cardboard disks attached to a rotating shaft somedistance apart and to measure the angular separation of the holesmade by the bullet. In such an experiment, two cardboard disks areplaced 0.534m apart on a shaft that is rotating at 3000rpm. Thebullet is fired parallel to the axis ad the angular separation ofthe holes is measured to be 22degrees. What is the speed of thebullet? Answer is 437 m/s. Please show work! Thank you!

Explanation / Answer

time taken by shaft to rotate 22 degrees.. This is the amount of time that it took for the bullet to travel 0.534 metres. = Divide the distance by the time(in seconds) to get the speed of the bullet in metres per second. so , 5000rpm is 3000/60*360 degrees per second. so 22/(360*50) is the time in seconds. 436.9 m/s approximately = 437m/s If the bullet was really going slow then there is the possibility that the disk actually turned through a full revolution+22 degrees ( look up aliasing). You can check how slow it would have to be going by 0.534/(382/(360*50)) which is about 25 m per second - this is only about 4 times faster than a world class sprinter so you can be pretty sure that your first answer is the one you need.

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