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ehidna [41]
3 years ago
5

A certain string on a piano is tuned to produce middle c (f = 261.63 hz) by carefully adjusting the tension in the string. for a

fixed wavelength, what is the frequency when this tension is tripled?
Physics
1 answer:
Lemur [1.5K]3 years ago
7 0

Frequency and wavelength are two variables which are indirectly proportional.

They are related in the following equation:

f = c / w

Where,

<span>f = frequency    c = speed of light          w = wavelength</span>

Since c is constant, we can equate condition 1 and condition 2:

f1 w1 = f2 w2

When w2 = 3 w1, then f2 becomes:

261.63 w1 = f2 (3 w1)

Cancelling w1:

f2 = 261.63 / 3

<span>f2 = 87.21 Hz</span>

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Answer:

31.75 m/s

Explanation:

h = 41.7 m

Let the initial velocity of the second stone is u

Let the time taken to reach to the bottom by the first stone is t then the time taken by the second stone to reach the ground is t - 1.8.

For first stone:

Use second equation of motion

h=ut+\frac{1}{2}gt^2

Here, u = 0, g = 9.8 m/s^2 and t be the time and h = 41.7

So, 41.7= 0 + 0.5 x 9.8 x t^2

41.7 = 4.9 t^2

t = 2.92 s ..... (1)

For second stone:

Use second equation of motion

h=ut+\frac{1}{2}gt^2

Here, g = 9.8 m/s^2 and time taken is t - 1.8 = 2.92 - 1.8 = 1.12 s, h = 41.7 m and u be the initial velocity

h=u\left ( t-1.8 \right )+4.9\left ( t-1.8 \right )^2    .... (2)

By equation the equation (1) and (2), we get

41.7=1.12 u +4.9 \times 1.12^{2}

u = 31.75 m/s

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