An astronaut is being tested in a centrifuge. The centrifuge has a radius of 11.0 m and, in starting, rotates according to 0 = 0.320t2, where t is in seconds and is in radians. When t = 4.90 s, what are the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration?

An astronaut is being tested in a centrifuge. The centrifuge has a radius of 11.0 m and, in starting, rotates according to 0 = 0.320t2, where t is in seconds and is in radians. When t = 4.90 s, what are the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

An ultracentrifuge accelerates uniformly from rest to 100,000 rpm in 2.0 min. If this ultracentrifuge accelerates 4.0 seconds starting from rest, what is the magnitude of the centripetal acceleration in unit of gravitational acceleration g for your sample sitting at 4.0 cm from the center axis? Use g = 9.8 m/s2. Hint: compute the centripetal acceleration in unit of m/s2 first, then divided by g will be your answer. For example, if your centripetal acceleration is 19.6 m/s2, your answer measured in unit of g is 2.0.
Can you please help me with this question please? I really appreciate your help! Thank you!
The earth has a radius of 6.38 x 106 m and turns on its axis once every 23.9 h. (a) What is the tangential speed (in m/s) of a perso living in Ecuador, a country that lies on the equator? (b) At what latitude (i.e., the angle beta in the drawing) is the tangential speed one-third that of a person living in Ecuador?
Cheryl is riding on the edge of a merry-go-round, 2m from the center, which is rotating with an increasing angular speed. Cheryl’s tangential acceleration is 3.0m/s2. At the instant that Cheryl’s linear speed is 4.0m/s, what is Cheryl’s total acceleration?
A “blink of an eye” is a time interval of about 150 ms for an average adult. The “closure” portion of the blink takes only about 55 ms. Let us model the closure of the upper eyelid as uniform angular acceleration through an angular displacement of 14.0°. What is the tangential acceleration of the edge of the eyelid while closing if the radius of the eyeball is 1.25 cm?
A particle is moving in a circle of radius R. At t = 0, it is located on the x-axis. The angle the particle makes with the positive x -axis is given by 0 = At² + Bt³ What is the magnitude of the tangential acceleration, atan of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed. What is the magnitude of the radial acceleration, larad of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed.
If it takes 18.5 kJ of energy to melt an ice cube, how many moles of water are present? 38.9 mol 8.81 mol 3.08 mol O 111 mol
I need help on this question: You are driving on a horizontal circular road of radius 50.0 m at a constant speed of 11.17 m/s. How much time does it take to complete 10 rounds?What is your angular velocity? When you are at the northern most point on the road, what is the magnitude and direction of your acceleration?
A motorcycle, starting from rest, accelerates at 2.07m/s^2 on a circular track with a 215m diameter. What is the elapsed time, in seconds, at which the centripetal acceleration of the motorcycle has the same magnitude as its tangential acceleration?
An automobile with 0.300 m radius tires travels 70,000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear? x revolutions A truck with O.600 m radius tires travels at 29.0 m/s. At how many radians per second are the tires rotating? What is this in rpm? гad/s rpm
What is the radial acceleration of the blade tip expressed as a multiple of the acceleration due to gravity, g? Express your answer as a multiple of g.
A sprinter participating in the 200 m dash has to run around a track that has a circular arc with a radius of curvature of 26 m. She completes the 200 m dash in 22.8 seconds at constant speed throughout the race. a) What is the magnitude of her centripetal acceleration in m/s2 as she runs the curved portion of the track? b) What is the magnitude of her tangential acceleration in m/s2 as she runs the curved portion of the track? c) What is the magnitude of her angular acceleration in rad/s2 as she runs the curved portion of the track? d) What is the magnitude of her resultant linear acceleration in m/s2 as she runs the curved portion of the track?