Apiano wire of length 2.5 m vibrates so that one-half wavelength is contained on the string. if the frequency of vibration is 35 hz, the amplitude of vibration is 3.0 mm, and the density is 20 g/m, how much energy is transmitted per second down the wire?

The energy transmitted per second down the wire is 0.761 watt.

Explanation:

Given that,

Length = 2.5 m

Amplitude = 3.0 mm

Density = 20 g/m

Frequency = 35 Hz

We need to calculate the wavelength

Using formula of wavelength

Put the value into the formula

We need to calculate the speed

Using formula of speed

Put the value into the formula

We need to calculate the energy is transmitted per second down the wire

Using formula of the energy is transmitted per second

Put the value into the formula

Hence, The energy transmitted per second down the wire is 0.761 watt.

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

none, its a machine