A string is stretched with a tension of 10N. The speed of a pulse traveling down

Question

A string is stretched with a tension of 10N. The speed of a pulse traveling down the string is measured to be 55m/s. What happens to the speed of the pulse if the following changes are made?

increase? decrease? stay the same?

If the tension of the string is cut in half and everything else is kept the same, the velocity will ______.

If the length of the string and tension are kept the same, but the string is replaced with a heavier string, the velocity will _______.

If the total length of the string is cut in half but the tension stays the same and the type of string (and therefore the mass per unit length) stays the same, the velocity will _______.

Explanation / Answer

wave velocity = sqrt ( tension / mass per unit length )

If the tension of the string is cut in half and everything else is kept the same, the velocity will ______.

Decrease

If the length of the string and tension are kept the same, but the string is replaced with a heavier string, the velocity will _______.

Decrease

If the total length of the string is cut in half but the tension stays the same and the type of string (and therefore the mass per unit length) stays the same, the velocity will _______.

Stay the same

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