if a wave pulse is travelling a string with a speed v towards positive x axis the shape of th string at t =o is given by g(x)=asin(x/a) whers a and a are constant then what is th dimensions of a and a

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Solution

g(x)=asin(x/a)

here g(x) is an amplitude either distance:
Since sin function is dimensionless quantity, a has the dimensions of length.
and the a in denominator is also having the same dimension as the term x/a is supposed to be dimensionless.

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A wave pulse is travelling on a string with a speed v towards the positive X-axis. The shape of the string at t = 0 is given by g(x) = $A s i n (\frac{x}{a})$ where A and a are constants. Write the equation of the wave for a general time t, if the wave speed is v.

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if a wave pulse is travelling a string with a speed v towards positive x axis the shape of th string at t =o is given by g(x)=asin(x/a) whers a and a are constant then what is th dimensions of a and a

g(x)=asin(x/a) here g(x) is an amplitude either distance: Since sin function is dimensionless quantity, a has the dimensions of length. and the a in denominator is also having the same dimension as the term x/a is supposed to be dimensionless.

g(x)=asin(x/a)

here g(x) is an amplitude either distance:
Since sin function is dimensionless quantity, a has the dimensions of length.
and the a in denominator is also having the same dimension as the term x/a is supposed to be dimensionless.