I have this for a physics question
A 320 hz tuning fork vibrates for 8s. During this time each tine of the fork travels a total distance of 10.3 cm.
first I multiplied 320 by 8.( 2 560)
then i divided 10.3 by 2 560. then i divided that answer by 4 since there are four amplitudes (ei the tine moves up then down, then below again, then up to its original position.
My final answer was 0.001005859 cm
could u tell me if i am correct
Thanks
Are you supposed to find the amplitude of vibration? If so, you did it correctly.
Let's break down the problem and your steps to see if you arrived at the correct answer.
The problem states that a 320 Hz tuning fork vibrates for 8 seconds, and during this time, each tine of the fork travels a total distance of 10.3 cm.
First, you correctly multiplied the frequency of the tuning fork (320 Hz) by the time (8 s), which gave you 2,560. This represents the total number of vibrations or cycles the fork makes during the given time period.
Next, you divided 10.3 cm by 2,560. It seems you divided the displacement by the number of vibrations to find the amplitude of each vibration.
However, you mentioned that there are four amplitudes (up, down, below again, up to the original position) for each complete vibration cycle. If this is the case, dividing by 4 is not necessary since you were calculating an average amplitude for each cycle.
So, your final answer of 0.001005859 cm may be incorrect. Instead, simply dividing 10.3 cm by 2,560 would give you the average amplitude of each vibration.
Dividing 10.3 cm by 2,560, you will get an average amplitude of approximately 0.00402 cm per vibration cycle.
Therefore, it seems there might be a mistake in your calculations, and the correct answer should be approximately 0.00402 cm.