In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x ( t ) 18 0 cos( 25 0 t ) where x is in centimeters and t is in seconds (a) What is the period of the motion (b) What is the amplitude of the motion (c) At t 1 s, find the position of the piston (d) At t 1 s, find the velocity of the piston (e) At t 1 s, find the acceleration of the piston (f) Sketch a plot of the acceleration as a function of time Scale the plot properly

Question: In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x ( t ) = 18.0

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x ( t ) = 18.0 cos( 25.0 t ) where x is in centimeters and t is in seconds.

(a) What is the period of the motion?

(b) What is the amplitude of the motion?

(d) At t = 1 s, find the velocity of the piston.

(e) At t = 1 s, find the acceleration of the piston.

(f) Sketch a plot of the acceleration as a function of time. Scale the plot properly.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

A Xt 18 cos 25t Xt A cos wt where A is amplitude and w is angular frequency Period of the motion ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Physics Questions!

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x = (5.00 cm) cos (2t + /6) where x is in centimeters and t is in seconds. At t =...

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x ( t ) = 15.0 cos( 20.0 t ) where x is in centimeters and t is in seconds. (a)...

The position of a particle moving along the x axis varies in time according to the expression x = 3t2, where x is in meters and t is in seconds. Evaluate its position (a) At t = 3.00 s and (b) At...

Soft Glow, Inc. manufactures light bulbs. Their purchasing policy requires that the purchasing agents place each quarter's purchasing requirements out for bid. This is because the Purchasing...

A wealthy benefactor has donated $1,000,000 to establish a perpetuity that will be used to support the operating costs of a local heritage museum scheduled to open in three years time. If the funds...

Bluetooth supports two types of links between a master and a slave. What are they and what is each one used for?

1 What is the role of implicit theories in coach training programs from your own experience?

Computers Galore Ltd. sells computers, computer accessories, and software. On its computer sales, the company pro- vides a one-month warranty that is included in the cost of the computer. Claims...

The most commonly accepted groups of asset classes include all of the following except: Stocks Bonds Machinery and equipment Real estate

The graph below is of f'(m) for some function x) with domain (00, oo) (i.e., the graph of the derivative off(:e)). Note: You can click on the graph to enlarge the image. A a) What are the critical...

Differentiate the function. r(z) = 2-8 - 21/2 r'(z) =

on list K Find the angle between v and w. v=-3i+2j, w=3i+9j estion 14 The angle between v and w is . (Do not round until the final answer. Then round to the nearest tenth as needed.) uestion 15...

1- List five things a good CGL should have. 2- List 3 state in the United States to open LLC and state why. 2. According to your textbook, 1- List and explain the qualities to look for when choosing...

Fill in the name and empirical formula of each ionic compound that could be formed from the ions in this table: Some ionic compounds cation anion empirical formula Cs ci Cs Cs + Br I name of compound...

(a) Determine the research question you are exploring from the theme or concept of sustainability. (b) Write the research question (only one question). (c) Identify the relevant 5 academic journal...

#1 #2 Zisk Company purchases direct materials on credit. Budgeted purchases are Apni, $89,000;, May, $119,000; and June, \$129,000. Cash payments for purchases are: 70% in the month of purchase and...

Interest Compounded Annually. When P dollars is invested at interest rate i, compounded annually, for t years, the investment grows to A dollars, where A = P(1 + i) t . Trevor's parents deposit $7800...

A soccer ball is kicked with an initial speed of 10.2 m/s in a direction 25.0 above the horizontal. Find the magnitude and direction of its velocity (a) 0.250 s (b) 0.500 s after being kicked. (c) Is...

Geologists have learned of periods in the past when the Strait of Gibraltar closed off, and the Mediterranean Sea dried out and become a desert. Later, when the strait reopened, a massive saltwater...

An electron has a momentum p 1.7 10-25 kg ( m / s. What is the minimum uncertainty in its position that will keep the relative uncertainty in its momentum (p / p) below 1.0%?

Do problems with attachment cause problems in cognitive development?

What is the nature of childrens attachment to their parents? Is it purely biological or instinctive?

Watch the short TED Talk by McKenna Pope, who at the age of 13 petitioned Hasbro to market its Easy-Bake Oven to boys as well as girls, and to make it available in gender-neutral colours, Want to be...