# science

The motion of a vibrating system is described by the function y(x, t) = A0e^(-at)sin(kx-ωt). If t refers to time in seconds and x refers to distance in meters, what must the units of k be?

1/s
s
1/m
unitless
m/s
m

1. 👍
2. 👎
3. 👁
1. k x must be the same units as ω t which is 2 pi f t which is 2 pi t/T which is no units (angle) so
k x must be no units so k must be 1/meter

by the way if L is wavelength and T is period
sin(kx-ωt) is the same as sin (2 pi x/L - 2 pi t/T)
so kx has same units as x/L so k has same units as 1/wavelength

1. 👍
2. 👎
👤
Damon

## Similar Questions

1. ### Cal

If the equation of motion of a particle is given by s = A cos(ωt + δ), the particle is said to undergo simple harmonic motion. s'(t) = -Aω sin(ωt + δ) When is the velocity 0? (Use n as the arbitrary integer.) t= _____________

2. ### Calculus

Find all points on the graph of the function f(x) = 2 sin(x) + (sin(x))^2 at which the tangent line is horizontal. Consider the domain x = [0,2π).

3. ### PreCalculus

A piano tuner strikes a tuning fork for note A above middle C and sets in motion vibrations that can be modeled by the equation y = 0.001 sin 880 Pi(T). Find the amplitude and period for the function.

4. ### Science

Which organ in the digestive system has a function that is most similar the function of the bladder in the excretory system?

1. ### calc

i did this problem and it isn't working out, so i think i'm either making a dumb mistake or misunderstanding what it's asking. A particle moves along the x axis so that its velocity at any time t greater than or equal to 0 is

2. ### inverse

If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [-1,1], so the range of f(x) is [2,4]. this means

3. ### Calculus

Find all points on the graph of the function f(x) = 2 sin(x) + (sin(x))^2 at which the tangent line is horizontal. Consider the domain x = [0,2π). Please help!

4. ### Difficult Trig Word Problem

The displacement of a spring vibrating in damped harmonic motion is given by y(t) = 4e^-3t sin(2pi*t) where y = displacement and t = time with t greater than/equal to zero. Find the time(s) when the spring is at its equilibrium

1. ### physics

a horizontal plate is vibrating vertically with simple harmonic motion at a frequency of 20 Hz.What is the amplitude of vibration so that the fine sand on the plate always remain in contact with it?

2. ### physics

study the motion of a particle of mass m in a central potential U(r) = γr^2 with γ > 0. a) write the equations of motion in cartesian coordinates (x, y, z). are they coupled or independent with each other? b) solve the equation

3. ### calculus

In electrical engineering, a continuous function like f(t)=sin(t), where t is in seconds, is referred to as an analog signal. To digitize the signal, we sample f(t) every ∆t seconds to form the sequence Sn= f(n∆t). For

4. ### calculus

1. Find the average value have of the function h on the given interval. h(x) = 2 cos4(x) sin(x), [0, π] 2. Consider the given function and the given interval. f(x) = 6 sin(x) − 3 sin(2x), [0, π] (a) Find the average value fave