Calculate the period and amplitude of the motion

Assignment Help Physics
Reference no: EM13543676

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 3.00 cos 5t + ? 5 where x is in centimeters and t is in seconds.

(a) At t = 0, find the position of the piston. cm

(b) At t = 0, find velocity of the piston. cm/s

(c) At t = 0, find acceleration of the piston. cm/s2

(d) Find the period and amplitude of the motion. period s amplitude cm.

Reference no: EM13543676

Questions Cloud

Find the absolute pressure at the bottom of a freshwate lake : Calculate the absolute pressure at the bottom of a freshwater lake at a point whose depth is 26.2 m
Find the recoil speed of the man and rifle : A rifle with a weight of 20 N fires a 3.5-g bullet with a speed of 250 m/s. (a) Find the recoil speed of the rifle. Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 10%. Double check your calculations. m..
What distinguishes a semiconductor from an insulator : An LED’s color is determined by the energy needed to shift an electron across the band gap in the semiconductor from which the LED is made. Because blue photons have more energy than green photons, the development of blue LEDs has been slow. The mate..
Determine where does this maximum speed occur : A 3.60-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 9.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position, Where does this maximum speed occur
Calculate the period and amplitude of the motion : In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 3.00 cos 5t + ? 5, Find the period and amplitude of the motion
What is the magnitude of the force that the shopper exerts : A person pushes a 16.2-kg shopping cart at a constant velocity for a distance of 27.5 m on a flat horizontal surface. She pushes in a direction 32.3 ° below the horizontal. A 35.3-N frictional force opposes the motion of the cart. (a) What is the mag..
Calculate the angular acceleration of the blades : A ceiling fan is turned on and a net torque of 1.8 N·m applied to the blades. What is the angular acceleration of the blades
What is the acceleration of the shuttle : During the first stage of its launch, a space shuttle goes from rest to 4956 km/hwhile rising a vertical distance of 45.0km . Assume constant acceleration and no variation in g over this distance. A)What is the acceleration of the shuttle?
Find its angular wave number : A sinusoidal wave of wavelength 1.91 m and amplitude 0.159 m travels with a speed of 0.743 m/s on a string. Find its angular wave number

Reviews

Write a Review

Physics Questions & Answers

  How far is the object from its initial position

A time-dependent force, Fvecbold = (7.50i hat bold ? 4.05tj hat bold), How far is the object from its initial position when its speed is 15.0 m/s

  Compute the amplitude of the associated electric field

A sinusoidal electromagnetic wave having a magnetic field of amplitude 1.50uT and a wavelength of 430nm is traveling in the +x direction through empty space. What is the amplitude of the associated electric field

  What is the depth of the flow in the channel during periods

Due to concerns about the salt water content in the estuary, the discharge in the channel needs to be varied to mimic tidal effects. This means that for 12 hours a day, the channel needs to carry a flow of 8m3.s1, and for the other 12 hours the fl..

  How much time will it take the package to reach the ground

a cargo plane is moving with a horizontal velocity of v=+220 m/s at a height of y=970m above level ground, how much time will it take the package to reach the ground

  Explain which goes farther up the incline plane

A hoop and a cylinder of the same mass and outer radius are rolled up an incline plane with the same speed. Which goes farther up the incline plane? Explain

  What is the shortest period this system can have

A 2.50kg bucket containing 11.5kg of water is hanging from a vertical ideal spring of force constant 120N/m and oscillating up and down with an amplitude of 3.00 cm.

  Determine the possible algebraic signs

An unstrained horizontal spring has a length of 0.34 m and a spring constant of 290 N/m. Two small charged objects are attached to this spring, one at each end. The charges on the objects have equal magnitudes.

  Calculate the height of the building

A ball is dropped from the top of a building. In the absence of air resistance, the ball will hit the ground with a speed of 49 m/s. The height of the building is

  What happen if the plane now turns and heads for home

A crate of mass 10.3 kg is pulled up a rough incline with an initial speed of 1.51m/s. The pulling force is 97N parallel to the incline, which makes an angle of 20.3 ° with horizontal. The coefficient of kinetic friction is 0.400, and the crate is..

  Illustrate what angular speed must such a cylinder

Illustrate what angular speed must such a cylinder have so that the centripital acceleration at its surface equals the free-fall acceleration on Earth?

  What is the heads time constant

The 15g head of a bobble-head doll oscillates in SHM at a frequency of 4.0Hz. What is the head's time constant

  Determine how much work did the carpenter do

A carpenter carries his 8kg toolbox at constant speed up 2 flights of stairs, each 3m high, in one minute. How much work did the carpenter do in carrying the toolbox up 2 flights

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd