1011 The rotation of the 0.9-m arm OA about O is defined by the relation Eq. (1), where is expressed in radians and t in seconds. Collar B slides along the arm in such a way that its distance from O is Eq. (2), where r is expressed in meters and t in seconds. After the arm OA has rotated through 30°, determine the: a. velocity of the collar (m/s). b. acceleration of the collar (m/s^2) 06 Eq. (1)→ 0 0.15t² = Eq. (2)→ r=0.9 -0.12t² B A

1011 The rotation of the 0.9-m arm OA about O is defined by the relation Eq. (1), where is expressed in radians and t in seconds. Collar B slides along the arm in such a way that its distance from O is Eq. (2), where r is expressed in meters and t in seconds. After the arm OA has rotated through 30°, determine the: a. velocity of the collar (m/s). b. acceleration of the collar (m/s^2) 06 Eq. (1)→ 0 0.15t² = Eq. (2)→ r=0.9 -0.12t² B A

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Universal Gravitation

Section: Chapter Questions

Problem 13.73AP

See similar textbooks

Similar questions

Microwave ovens rotate at a rate of about 6 rev/min. What is this in revolutions per second? What is the angular velocity in radians per second?
NASA’s Cassini mission to Saturn released aprobe on December 25, 2004, that landed on the Saturnian moonTitan on January 14, 2005. The probe, which was named Huygens,was released with a gentle relative speed of 31 cm>s. As Huygensmoved away from the main spacecraft, it rotated at a rate of sevenrevolutions per minute. (a) How many revolutions had Huygenscompleted when it was 150 yards from the mother ship? (b) Howfar did Huygens move away from the mother ship during each revolution? Give your answer in feet
A helicopter blade spins at exactly 100 revolutions perminute. Its tip is 5.00 m from the center of rotation. (a)Calculate the average speed of the blade tip in thehelicopter’s frame of reference. (b) What is its averagevelocity over one revolution?
A Bluray disc is 12 cm in diameter. When put into a player, it takes 30 seconds for the disc toaccelerate to its playing speed of 1500 revolutions per minute. After this time, it spins at a constantangular velocity. Explain why you did everything you did.a) Find the distance traveled by a point on the edge of the disc during the time it takes to reachits playing speed. b) Make plots of θ, ω and α for the first 60 seconds after the disc is put in the player. (Note thisis longer than the 30 seconds of acceleration.) You may assume it spins counterclockwise
(I) A space shuttle releases a satellite into a circular orbit780 km above the Earth. How fast must the shuttle bemoving (relative to Earth’s center) when the release occurs?
The “Screaming Swing” is a carnival ride that is—not surprisingly—a giant swing. It’s actually two swings moving in opposite directions. At the bottom of its arc, a rider in one swing is moving at 30 m/s with respect to the ground in a 50-m-diameter circle. The rider in the other swing is moving in a similarcircle at the same speed, but in the exact opposite direction.a. What is the acceleration, in m/s2 and in units of g, that riders experience?b. At the bottom of the ride, as they pass each other, how fast do the riders move with respect to each other?
A small ball is attached to the lower end of a0.800-m-long string, and the other end of the stringis tied to a horizontal rod. The string makes aconstant angle of 67.9° with the vertical as the ballmoves at a constant speed in a horizontal circle.Part AIf it takes the ball 1.10 s to complete onerevolution, what is the magnitude of the radialacceleration of the ball?Express your answer with the appropriate units.
Our Sun is 2.3 * 104 ly (light-years) from the center of our Milky Way galaxy and is moving in a circle around that center at a speed of 250 km/s. (a) How long does it take the Sun to make one revolution about the galactic center? (b) How many revolutions has the Sun completed since it was formed about 4.5 *109 years ago?
A toy spaceship hangs by a string from a ceiling fan and as the fan rotates, the spaceship travels at v=2 m/s. What is the angular velocity if the fan blade is 300 mm, and the string is 50 mm? Show complete solution with proper derivatives/integrals and units. Use 2 decimal places for final answers.
At 714 A.M. on June 30, 1908, a huge explosion occurred above remote central Siberia, at latitude 61 N and longitude 102 E; the fireball thus created was the brightest flash seen by anyone before nuclear weapons. The Tunguska Event, which according to one chance witness “covered an enormous part of the sky,” was probably the explosion of a stony asteroid about 140 m wide. (a) Considering only Earth’s rotation, determine how much later the asteroid would have had to arrive to put the explosion above Helsinki at longitude 25 E. This would have obliterated the city. (b) If the asteroid had, instead, been a metallic asteroid, it could have reached Earth’s surface. How much later would such an asteroid have had to arrive to put the impact in the Atlantic Ocean at longitude 20 W? (The resulting tsunamis would have wiped out coastal civilization on both sides of the Atlantic.)
I'm having trouble completing the problem I've attached a picture of below. I was able to find the the Earth's average speed in m/s relative to the sun by doing (2pi*(1.49x10^11))/31536000. But I am struggling to find the average velocity for the same thing over a period of one year in m/s. I was wondering how to calculate that? I've tried doing the (final velocity-initial velocity)/2 but the program doesn't accept my answer when using that approach.
1. Consider a bouncy ball and a metal cylinder on a 20 degree incline. Everyone knows a regular bouncy ball has a diameter of 2.5 cm and has a mass of 29 g, the cylinder is 5 cm long with a diameter 1 cm. 1. Use the conservation of energy approach to find the length of time theobjects in #1 take to roll down a 1.5 m incline at 200.t =_________________________ and ____________________________ If you could clearly circle the answers I need, that would be great!! Thanks!