The Moon orbits the Earth in an approximately circular path. The position of the Moon as a function of time is given by x(t) = r cos(wt) y(t) = r sin(wt), where r = 3.84 × 10° m and w = 2.46 x 10-° radians/s. What is the average velocity of the Moon measured over the interval from t = 0 to t = 6.82 days? Find its magnitude, in m/s, and find its direction, given as an angle measured counterclockwise from the positive x- axis. magnitude direction m/s ° counterclockwise from the +x-axis

The Moon orbits the Earth in an approximately circular path. The position of the Moon as a function of time is given by x(t) = r cos(wt) y(t) = r sin(wt), where r = 3.84 × 10° m and w = 2.46 x 10-° radians/s. What is the average velocity of the Moon measured over the interval from t = 0 to t = 6.82 days? Find its magnitude, in m/s, and find its direction, given as an angle measured counterclockwise from the positive x- axis. magnitude direction m/s ° counterclockwise from the +x-axis

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 55P: The arc length formula says the length sof arc subtended by angle in a circle of radius r is given...

See similar textbooks

Similar questions

The first atomic bomb was detonated on July 16, 1945, at the Trinity test site about 200 mi south of Los Alamos. In 1947, the U.S. government declassified a film reel of the explosion. From this film reel, British physicist G.I. Taylor was able to determine the rate at which the radius of the fireball from the blast grew. Using dimensional analysis, he was then able to deduce the amount of energy released in the explosion, which was a closely guarded secret at the time. Because of this, Taylor did not publish his results until 1950. This problem challenges you to recreate this famous calculation. (a) Using keen physical insight developed from years of experience, Taylor decided the radius rof the fireball should depend only on time since the explosion, t, the density of the air, , and the energy of the initial explosion, E. Thus, he made the educated guess that r=kEabtcfor some dimensionless constant kand some unknown exponents a,b, and c. Given that [E]=ML2T-2 , determine the values of the exponents necessary to make this equation dimensionally consistent. (Hint: Notice the equation implies that k=rEabtcand that [k]=1 ). (b) By analyzing data from high-energy conventional explosives, Taylor found the formula he derived seemed to be valid as long as the constant khad the value 1.03. From the film reel, he was able to determine many values of rand the corresponding values of t. For example, he found that after 25.0 ms, the fireball had a radius of 130.0 m. Use these values, along with an average air density of 1.25kg/m3 , to calculate the initial energy release of the Trinity detonation in joules (J). (Hint: To get energy in joules, you need to make sure all the numbers you substitute in are expressed in terms of SI base units.) (c) The energy released in large explosions is often cited in units of “tons of TNT” (abbreviated “t TNT”), where 1 t TNT is about 4.2 GJ. Convert yow answer to (b) into kilotons of TNT (that is, kt TNT). Compare your answer with the quick-and-duty estimate of 10 kt TNT made by physicist Enrico Fermi shortly after witnessing the explosion from what was thought to be a safe distance. (Reportedly, Fermi made his estimate by dropping some shredded bits of paper right before the remnants of the shock wave hit him and looked to see how far they were carried by it.)
Please help me with the following and make sure your answer is correct, pls and thanks you
Could i get some help onthese physics word problems ? :)
Hello, I need help with this question. Pls & thank you!
can you help with this question plz
Hi, can you help me with subsection iv in this question. thank you
plssss solve correctly
How dod i solve this question
Please solve it completely and accurate with correct calculations. Thank you!
Be correct!
Please answer im confuse , I will give a high rate
How do I solve the following?