1) A sine wave traveling on a string is described by the following equation:y=As
ID: 2281830 • Letter: 1
Question
1) A sine wave traveling on a string is described by the following equation:y=Asin(bx+ct+d) where A is 1.66 cm, b is 0.58 rad/cm, c is 0.69 rad/s, andd is 1.32 rad.
(a) What is the amplitude of the wave? (in cm)
(b) What is the magnitude of the velocity at which the wave moves down the string? (in cm/s)
(c) What direction is the wave moving?
(d) What is the maximum transverse velocity that any part of the string will experience as the wave passes through it? (in cm/s)
(a) What is the wavelength of this wave? (in cm)
(b) What is the period of this wave? (in s)
(c) What is the angular wavenumber of this wave? ( in rad/cm)
(d) If I watch this wave go by, I'll see it go up and down. If I start timing when the wave it at its maximum, how long do I have to wait for it to go down and then back up to its maximum height again? (in s)
3) A spider weighing 1.03 grams is hanging at the bottom of a 1 meter long thread of spider silk. The silk has a density of 1.30 g/cm3 and has a circular cross section with diameter of 8.3E-6 m. If the spider wiggles, causing a wave to travel up the spider silk, how fast will the wave travel? Assume that g= 9.80 m/s^2. (in m/s)
4) A 10 meter long rope weighs 0.621 kg. tie this rope between two trees which are 4.51 meters apart. I pull the rope as tight as I can, resulting in a tension of 101 N. What is (to three significant digits) the speed that waves travel along this rope from one tree to the other.
Please put step-by-step so I can understand. Thx!
The +x direction The -x directionExplanation / Answer
Here are the right answers for HW4 man. If you need help with hw let me know. Send me an email and I can help you for labs and hw.
https://docs.google.com/document/d/141DKiCB-2IQVfXpwHB3LOhQ75UPzeOCxsZpx3DczK2E/edit?usp=sharing
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