The motion of a body is described by the equation
4.15 sin (0.170πt)
where t is in s and y is in m.
a. Find the amplitude
b. Find the period
c. Find the frequency
d. Find the displacement at t= 5.50 s
e. Find the displacement at t= 22.5 s
The motion of a body is described by the equation 4.15 sin (0.170πt) where t is...
The motion of a body is described by the equation 1.40 sin (0.130πt) where t is in s and y is in m. (a) Find the amplitude. (b) Find the period. (c) Find the frequency. (d) Find the displacement at t = 3.50 s. (e) Find the displacement at t = 29.0 s.
The motion of an object is described by the equation below. x = (0.50 m) cos(π t / 9) (a) Find the position of the object at t = 0 and at t = 0.30 s. (b) Find the amplitude of the motion. (c) Find the frequency of the motion. (d) Find the period of the motion.
A traveling wave is described by the equation: TT y(x, t) = (0.35 cm) sin ( 3173 107t + 4 Find: a. the wavelength of the wave; b. the period of the wave; c. the speed and direction of travel of the wave; Now consider the particle at x = 10 cm. d. Find the vertical displacement of the particle t = 0. e. Find the maximum transverse speed and acceleration of the particle. If the oscillator that is generating...
The equation describing a transverse wave on a string is y(x,t)=( 2.50mm )sin[( 168s?1 )t?( 42.1m?1 )x]. A. Find the wavelength of this wave. B. Find the frequency of this wave. C. Find the amplitude of this wave. D. Find the speed of motion of the wave. E. Find the direction of motion of the wave. F. Find the transverse displacement of a point on the string when t = 0.160s and at a position x = 0.140m.
SELF TESTI 1. A wave is described by the equation y = 4 sin(31-6x) (SI units). a) Is the wave traveling in the +x or -x direction? b) Determine the amplitude, angular frequency, wavenumber, frequency, period, and wavelength (don't forget units). 2. A wave moves along a string in the +x direction with a speed of 8.0 m/s, a frequency of 4.0 Hz, and amplitude of 0.050 m. a) Determine the wavelength. b) Determine the wavenumber. c) Determine the period....
(d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency of 11.5 Hz and a wavelength of 1.30 m. At t = 0 the displacement at the antinodes is given by y = Y= 0.125 m. What is the displacement at A/8 when t = 30.0 ms? the point x (d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency...
The equation of a particular wave travelling along a wire is given as y=(0.47m)sin[(150s−1)t+(53m−1)x]y=(0.47m)sin[(150s−1)t+(53m−1)x] Based on this equation, find the amplitude, wavelength, frequency, and velocity of the wave. Be sure to include the correct sign for the velocity. Amplitude = m Wavelength = m Frequency = Hz Velocity = m/s What is the displacement of the wire at x=0.29x=0.29 m and t=0.26t=0.26 s? Displacement = m I got the first three right but can't figure out how to get the...
A wave on a string is described by D(x,t)=(3.6cm)× sin[2π(x/(8.4m)+t/(0.16s)+1)], where x is in m and t is in s. A)In what direction is this wave traveling? B) What is the wave speed? C)What is the frequency? D)What is the wave number? E) At t=0.24s, what is the displacement of the string at x=9.1m?
A sinusoidal wave is described by the wave function, y = (0.20 m) sin(0.16x − 54t) where x and y are in meters and t is in seconds. Determine the following for this wave. (a) the amplitude ______________ m (b) the angular frequency _______________ rad/s (c) the angular wave number _____________ rad/m (d) the wavelength _________ m (e) the wave speed ________ m/s
A wave is described by y 0.020 2 sin(kx wt), where k 2.18 rad/m, w 3.60 rad/s, x and y are in meters, and t is in seconds. (a) Determine the amplitude of the wave. m (b) Determine the wavelength of the wave (c) Determine the frequency of the wave. Hz (d) Determine the speed of the wave. m/s