A transverse wave on a string is described by the following wave function. y= 0.090 sin where x and v are in meters and t is in seconds. (a) Determine the transverse speed at t = 0.230 s for an element of the string located at x = 1.50 m. -1.41 Remember that your calculator must be in radian mode to solve these problems. m/s (b) Determine the transverse acceleration at t= 0.230 s for an element of the string located at x= 1.50 m. 1.5498 Given the equation for the vertical position of elements of the string as a function of time, how do you determine the velocity of those elements as a function of time? m/s? (c) What is the wavelength of this wave? 24 (d) What is the period of this wave? 4 (e) What is the speed 60 propagation of this wave? * m/s Need Help? Watch It Additional Materials O eBook
A transverse wave on a string is described by the following wave function. y= 0.090 sin where x and v are in meters and t is in seconds. (a) Determine the transverse speed at t = 0.230 s for an element of the string located at x = 1.50 m. -1.41 Remember that your calculator must be in radian mode to solve these problems. m/s (b) Determine the transverse acceleration at t= 0.230 s for an element of the string located at x= 1.50 m. 1.5498 Given the equation for the vertical position of elements of the string as a function of time, how do you determine the velocity of those elements as a function of time? m/s? (c) What is the wavelength of this wave? 24 (d) What is the period of this wave? 4 (e) What is the speed 60 propagation of this wave? * m/s Need Help? Watch It Additional Materials O eBook
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Transcribed Image Text:(a) Determine the transverse speed at t= 0.230 s for an element of the string located at x= 1.50
m?
{b) Determine the transverse acceleration at t = 0.220 s for an element of the string located at x
= 1.50 m ?
Step 2
5
Solution in y = 0.09 sinl
12
at
F=0,2305ec and x= 15m
U= (0:09) [5T)Cos(is +5xx-)
> N= -1.91 m/seel
)
16/=1141m/sec
(b) a-dv
= -(0.09 x (25n²) sincui0o6)
) la = 1-5498 m/sec}
Transcribed Image Text:A transverse wave on a string is described by the following wave function.
y = 0.090 sin
Ix + 5nt
where x and y are in meters and t is in seconds.
(a) Determine the transverse speed at t = 0.230 s for an element of the string located at x = 1.50 m.
|-1.41
Remember that your calculator must be in radian mode to solve these problems. m/s
(b) Determine the transverse acceleration at t = 0.230 s for an element of the string located at x = 1.50 m.
1.5498
Given the equation for the vertical position of elements of the string as a function of time, how do you determine the velocity of those elements as a function of time? m/s?
(c) What is the wavelength of this wave?
24
(d) What is the period of this wave?
.4
(e) What is the speed of propagation of this wave?
60
m/s
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