Given the problem, why is the velocity at point A equal to the tangential velocity at point B and the acceleration at point A equal to the tangential acceleration at point B?
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Given the problem, why is the velocity at point A equal to the tangential velocity at point B and the acceleration at point A equal to the tangential acceleration at point B?
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- A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall tree. As one of the children swings from this rope that is 6.10 m long, his tangential speed at the bottom of the swing is 7.05 m/s. (a) What is the centripetal acceleration, in m/s?, of the child at the bottom of the swing? Consider the relationship between angular speed, tangential speed, and centripetal acceleration. m/s?Imagine a disc which has a diameter of 2.00m. The angular velocity of the spinning disk is 305rev/min. a) What is the angular velocity of the disk in radians per second? b) What is the linear speed of a point on the rim of the disk? (m/s) c) Find the angular accleration (in revolutions per minute-squared)that will increase the disk's angular velocity to 1000 rev/min in 60 s. Assume the acceleration is constant. d) How many revolutions does the disk make during this 60 s accleration? d)A planet orbits a star, in a year of length 2.88 x 107 s, in a nearly circular orbit of radius 1.85 x 10¹¹ m. With respect to the star, determine (a) the angular speed of the planet, (b) the tangential speed of the planet, and (c) the magnitude of the planet's centripetal acceleration.
- A centrifuge rotor is accelerated for 23. s from 8000 rpm to 13000 rpm (revolutions per minute). (a) What is its average angular acceleration? (b) Through how many revolutions has the centrifuge rotor turned during its acceleration period, assuming constant angular acceleration?Find radial acceleration, tangential acceleration and acceleration shown in picture.A planet orbits a star, in a year of length 3.95 x 107 s, in a nearly circular orbit of radius 2.19 x 1011 m. With respect to the star, determine (a) the angular speed of the planet, (b) the tangential speed of the planet, and (c) the magnitude of the planet's centripetal acceleration. (a) Number Type your answer for part (a) here Units Choose your answer for part (a) here (b) Number Type your answer for part (b) here Units Choose your answer for part (b) here (c) Number Type your answer for part (c) here Units Choose your answer for part (c) here
- star, A planet orbits a star, in a year of length 2.64 x 107 s, in a nearly circular orbit of radius 1.30 x 10¹1 m. With respect to the determine (a) the angular speed of the planet. (b) the tangential speed of the planet, and (c) the magnitude of the planet's centripetal acceleration. (a) Number (b) Number (c) Number Units Units UnitsA centrifuge used to accustom astronaut trainees to high accelerations has radius ? of the circle traveled by an astronaut is 15 m. (a) At what constant rotational speed must the centrifuge rotate if the astronaut is to have a translational acceleration of magnitude 11g? (b) What is the tangential acceleration of the astronaut if the centrifuge accelerates at a constant rate from rest to the rotational speed found in part (a) in 120 s?The Mars Global Surveyor orbits Mars at an average altitude of 405 km. The average radius of Mars is 3390 km. If it takes the spacecraft 1.95 hours to complete one orbit around the planet, what is it's tangential velocity in kilometers per hour? b) In the activity problem, if the spacecraft's tangential velocity slows down to 10,000 kilometers per hour over a time of 6 minutes, what is the angular acceleration(deceleration) in units of radians per hour squared? Please enter your answer as a positive number with 2 decimal places and no units.gb
- Viewed from somewhere in space above the north pole, would a point on the earth’s equator have a positive or negative angular velocity due to the earth’s rotation?A planet orbits a star, in a year of length 3.51 x 107 s, in a nearly circular orbit of radius 3.92 x 1011 m. With respect to the star, determine (a) the angular speed of the planet, (b) the tangential speed of the planet, and (c) the magnitude of the planet's centripetal acceleration.What is the direction of tangential acceleration in a circle?