A wave travelling along a string is given by `y(x,t)=0.05 sin (40x-5t)`, in which numerical constants are in SI units. Calculate the displacement at distance 35 cm from origin, and time 10 sec.

A wave travelling along a string is given by `y(x,t)=0.05 sin (40x-5t)

1.	A wave travelling along a string is given by `y(x,t)=0.05 sin (40x-5t)`, in which numerical constants are in SI units. Calculate the displacement at distance 35 cm from origin, and time 10 sec.
Answer» The given equation is `y(x,t)=0.05sin(40x-5t)` Compare it with standard form `y=rsin((2pi)/(lambda)x-(2pit)/(T))` `r=0.05m,, (2pi)/(lambda)=40radm^(-1),(2pi)/(T)=5rad//s` `lambda=(2pi)/(40)=(pi)/(20)m=15.7cm` `T=(2pi)/(5)s=1.26s` `v=(1)/(T)=(5)/(2pi)=0.8Hz` At `x=35cm=0.35m and t=10s,` `y=0.05 sin (40xx0.35-5xx10)` `=0.05sin(-36)=-0.05sin36metre`

Discussion

No Comment Found

Related InterviewSolutions

A particle executed SHM iwht a time period of 3s and amplitude 6cm. Find (i) displacement (ii) velocity and (iii) acceleration, after `1//2` second, starting from the mean position.
A particle performs harmonic oscillations along a straight line with a period of 6s and amplitude 4 cm. The mean velocity of the particle averaged over the time interval during which it travels a distance of 2 cm starting from the extreme position isA. `1cms^(-1)`B. `2cms^(-1)`C. `4cms^(-1)`D. `8cms^(-1)`
A body executed SHM of time period 6s. If its mass be 0.1kg, its velocity, 1s after it passes throuh mean position be `3ms^(-1)`, find its (i) KE (ii) PE and (iii) total energy.
Two air columns of resonance appatus, 100cm and 101 cm long give 17 beats in 20 second, when each is sounding its fundamental mode. Calculate the velocity of sound.
Two factories are sounding their sirens at 800 Hz. A man goes from one factory to the other at a speed of 2 m/s. The velocity of sound is 320 m/s. The number of beats heard by the person is 1 s will be
If tension of a sire is increased to four times, how is the wave speed changed?
A string is vibrating in n loops. The numbers of nodes and anitnodes respectively areA. `n,n`B. `(n+1),n`C. `n,(n-1)`D. `(n-1),n`
An open organ pipe is closed at one end. How will the frequency of fundamental note of pipe change?
The temperature coefficient of velocity of sound in air isA. `1m//s//^(@)C`B. `0.61m//s//^(@)F`C. `1m//s//K`D. `0.61m//s//K`
The changes in pressure an volume of air, when sound wave passes through air areA. isothermalB. isobaricC. isovolumicD. adiabatic

A wave travelling along a string is given by `y(x,t)=0.05 sin (40x-5t)`, in which numerical constants are in SI units. Calculate the displacement at distance 35 cm from origin, and time 10 sec.

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment