Answered: a) The voltage (in Volts) across an… | bartleby

a) The voltage (in Volts) across an element is given as v(t) = 35 cos (4 pi ft + 40°) whereas the current (in Amps) through the element is i(t) = -10 sin (4 pi ft + 85°); where time, t is the time and f is the frequency in seconds and Hertz respectively. Determine the phase relationship between the two harmonic functions. b) An elastic cord vibrates with simple harmonic motion at a frequency of 4.0 Hz when a mass of 0.80 kg is hung from it. What is its frequency if only 0.30 kg is hung from it?

Related questions

Question

Question 4
a) The voltage (in Volts) across an element is given as v(t) = 35 cos (4 pi ft + 40°) whereas the current (in Amps) through
the element is i(t) = -10 sin (4 pi ft + 85°); where time, t is the time and f is the frequency in seconds and Hertz
respectively. Determine the phase relationship between the two harmonic functions.
b) An elastic cord vibrates with simple harmonic motion at a frequency of 4.0 Hz when a mass of 0.80 kg is hung from it.
What is its frequency if only 0.30 kg is hung from it?

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

Expert Solution

Step 1

The general equation of a wave is given by

$y = A \cos (2 π f t + ϕ) A = a m p l i t u d e f = f r e q u e n c y ϕ = i n i t i a l p h a s e$

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

You measure the oscillation period of a flexible rod to be T= 9.20 ± 0.5 ms. The so-called angular frequency ω is obtained from T by the formula: ω=2pi/T Naturally, your calculator gives you the value ω=683.0 s-1. What is the uncertainty on ω s-1? Include two significant figures.
3) A small sphere has radius 2cm and mas 60g. It is suspended at equilibrium from a spring with spring 14 w/m! Find how much the sphore shetches the stored in the spring. Constand and Spring the energy ^ i's pulled down an b From equilibrium, the sphere addinord Bem and released so it oscillates. up and down harmonically. Alse conservation of energy to calculate the kinetic energy to the equilibrium height. the sphere when it returns 18
We can model a molecular bond as a spring between two atoms that vibrate with simple harmonic motion.The figure below shows an simple harmonic motion approximation for the potential energy of an HCl molecule.This is a good approximation when E < 4 ×10^−19. Since mH << mCl, we assume that the hydrogen atomoscillates back and forth while the chlorine atom remains at rest. Estimate the oscillation frequency of theHCl molecule using information in the figure below.