The Mathematical Description of a Wave Video Lessons

Video Thumbnail

Concept

Problem: A transverse wave on a rope is given by y(x,t)= (0.750cm) cos(π[(0.400cm−1)x+(250s−1)t]).Part A Find the amplitude.Part B Find the period.Part C Find the frequency.Part D Find the wavelength.Part E Find the speed of propagation.Part F Is the wave traveling in the +x- or −x-direction?

FREE Expert Solution

Wave equation:

y(x,t)=Acos(kx-ωt)

Expanding the given wave equation:

y(x,t)= 0.750cm cos[π(0.400cm−1)x+π(250s−1)t]

View Complete Written Solution
Problem Details

A transverse wave on a rope is given by y(x,t)= (0.750cm) cos(π[(0.400cm−1)x+(250s−1)t]).

Part A Find the amplitude.

Part B Find the period.

Part C Find the frequency.

Part D Find the wavelength.

Part E Find the speed of propagation.

Part F Is the wave traveling in the +x- or −x-direction?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the The Mathematical Description of a Wave concept. You can view video lessons to learn The Mathematical Description of a Wave. Or if you need more The Mathematical Description of a Wave practice, you can also practice The Mathematical Description of a Wave practice problems.