Calculating Angular Velocity in a Centrifuge: Astronaut Test Problem

  • Thread starter Thread starter Punchlinegirl
  • Start date Start date
  • Tags Tags
    Angular Physics
AI Thread Summary
To calculate the astronaut's angular velocity in the centrifuge, the equation for angular displacement is given as θ(t) = 0.21t². The correct angular velocity is derived from the derivative of this equation, resulting in ω(t) = 0.42t. At t = 5.0 seconds, substituting into the equation yields an angular velocity of 2.1 radians per second. The radius of the centrifuge is mentioned but is not necessary for calculating angular velocity in this context. Understanding the relationship between angular displacement and angular velocity is crucial for solving similar problems.
Punchlinegirl
Messages
221
Reaction score
0
An astronaut is being tested in a centrifuge. The centrifuge has a radius of 8.5 m and in starting, rotates according to theta= .21t^2, where t in seconds give theta in radians. When t=5.0 s, what are the astronaut's angular velocity?

I did .21(5.0)^2 / 5, to get angular velocity, but it was wrong. Can someone steer me in the right direction?
 
Physics news on Phys.org
I have no idea what equation that is that your using.

\theta(t) = .21t^2

\omega(t) = .42t

by the relationship \omega(t) = d\theta(t)/dt
 
Last edited:
Why do they give the radius,if they don't ask for the tangential speed...?:bugeye:

Daniel.
 
Probably needs help on just one part of the problem.
 
Ok I see what I was doing. Thanks so much
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Thread 'Correct statement about a reservoir with an outlet pipe'
The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
Thread 'A bead-mass oscillatory system problem'
I can't figure out how to find the velocity of the particle at 37 degrees. Basically the bead moves with velocity towards right let's call it v1. The particle moves with some velocity v2. In frame of the bead, the particle is performing circular motion. So v of particle wrt bead would be perpendicular to the string. But how would I find the velocity of particle in ground frame? I tried using vectors to figure it out and the angle is coming out to be extremely long. One equation is by work...
Back
Top