Calculating Properties of a Standing Wave

[sonutulsiani]

Homework Statement

The wave function for a certain standing wave on a string that is fixed at both ends is given by
y(x, t) = (5.00 cm) sin (2.50 m^(− 1)x) cos (500 s^(− 1)t)


A standing wave can be considered as the superposition of two traveling waves.

1.
a. Give the speed in m/s rounded to a whole number.
b. Give the amplitude in cm rounded to one decimal place



2. What is the distance between successive nodes on the string? Give your answer in m rounded to two decimal places.


3. What is the shortest possible length of the string? Give your answer in m rounded to two decimal places.

Homework Equations

The Attempt at a Solution

I got all the answers:

1a. 200m/s
1b. 5.0 cm
2. 1.26 m
3. 1.26 m

But I am sure about none of them, please check if right or not? If it's not, then please help me out. Thanks !

 

[ideasrule]

Seems good!