1. a huge spool of wire, 10,000 meters long, weighs 81.34 n. you cut off a meter or so and tie it between two posts, 0.660 m apart. the tension in the wire is set to 52 n. when the string is plucked, at the same instant a 196 hz tuning fork is also hit, what beat frequency is heard

The beat frequency is 6.378 Hz.

Explanation:

Given that,

Length of wire = 10000 m

Weight = 81.34 N

Distance = 0.660 m

Tension = 52 N

Frequency = 196 Hz

We need to calculate the mass of the wire

Using formula of weight

Put the value into the formula

The mass per unit length of the wire

Put the value into the formula

We need to calculate the frequency in the wire

Using formula of frequency

Put the value into the formula

We need to calculate the beat frequency

Using formula of beat frequency

Put the value into the formula

Hence, The beat frequency is 6.378 Hz.

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