The function y(x, t) = (15.0 cm) cos (πx – 15πt), with x in meters and t in seconds, describes a wave on a taut string. What is the transverse speed for a point on the string at an instant when that point has the displacement y = +12.0 cm?
Added by Esperanza C.
Step 1
0 cm) cos (πx - 15πt) and the point has a displacement y = +12.0 cm, we need to calculate the transverse speed at that point. Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 91 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The function $y(x, t)=(15.0 \mathrm{~cm}) \cos (\pi x-15 \mathrm{zt}),$ with $x$ in meters and $t$ in seconds, describes a wave on a taut string. What is the transverse speed for a point on the string at an instant when that point has the displacement $y=+12.0 \mathrm{~cm} ?$
The wave function for a traveling wave on a taut string (in SI units) is y = (0.35 m) sin[2π(5t + 2x)]. What is the transverse velocity of the string at t = 0, x = 0.30?
Sri K.
$\bullet$ The equation describing a transverse wave on a string is $$y(x, t)=(1.50 \mathrm{mm}) \sin \left[\left(157 \mathrm{s}^{-1}\right) t-\left(41.9 \mathrm{m}^{-1}\right) x\right]$$ Find (a) the wavelength, frequency, and amplitude of this wave, (b) the speed and direction of motion of the wave, and (c) the transverse displacement of a point on the string when $t=0.100$ s and at a position $x=0.135 \mathrm{m} .$
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD