What is the maximum amplitude of the following equation? x = 0.66 sin(4.0 t) O A....
A string oscillates according to the equation y´ = (0.754 cm) sin[(π/4.0 cm-1)x] cos[(36.7 π s-1)t]. What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 1.05 cm when t = 1.12 s? I have everything except part (d) the units for it...
Chapter 16, Problem 053 A string oscillates according to the equation y= (0.425 cm) sin[(n/4.0 cm)x] cos[(47.5 n s1)t] What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 1.60 cm when t = 1.05 s? (a) Number Units (b) Number Units Units...
A 442g mass vibrates according to the equation x = 0.370 sin (5.95 t) where x is in meters and t is in seconds. A) Determine the amplitude. B) Determine the frequency. C) Determine the period. D) Determine the total energy. E) Determine the kinetic energy when x is 12.6 cm. F) Determine the potential energy when x is 12.6cm.
given the equation of the function, find the requested information
3. y=5-2 sin Midline: Amplitude: Maximum: Minimum: Period: Phase shift: Domain: Range: 4. y = 4cos C) +3 Midline: Amplitude: Minimum: Maximum: Period: Phase shift: Domain: Range:
A sinusoidal wave is described by the following equation: y(x,t)=9 sin(-9π x+6π t) where x and y are in meters, and t is in seconds. A. The amplitude. Units: m B. The wavelength. Units: m C. The frequency. Units: Hz D. The maximum transverse velocity. Units: m.s-1
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 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 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....
64 In the double-slit experiment of Fig. 35-10, the electric fields of the waves arriving at point P are given by E (3.50 pV/m) sin[(1.26 x 1015)t E2 (3.50 V/m) sin[(1.26 X 1015)t 21.5 rad], where time t is in seconds. (a) What is the amplitude of the resultant electric field at point P (b) What is the ratio of the intensity Ip at point P to the intensity Ieen at the center of the inter- ference pattern? (c) Describe...