Calculating Tangential Acceleration of an Astronaut in a Centrifuge

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To calculate the tangential acceleration of an astronaut in a centrifuge, the key parameters include the time taken to reach top speed, the radius from the axis, and the final rotational speed. The centrifuge accelerates from rest to a speed of 1 rotation every 1.30 seconds in 40 seconds. While mass is not provided, it is not necessary for calculating tangential acceleration, which can be derived from the angular velocity and radius. The angular velocity can be calculated from the given rotation period, and tangential acceleration can be determined using the formula a(t) = r * α, where α is the angular acceleration. Understanding these relationships allows for the calculation of the astronaut's tangential acceleration without needing mass.
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Astronauts use a centrifuge to simulate the acceleration of a rocket launch. The centrifuge takes 40.0 s to speed up from rest to its top speed of 1 rotation every 1.30 s. The astronaut is strapped into a seat 5.60 m from the axis.What is the astronaut's tangential acceleration during the first 40.0 s?

now, i know how to find a(c) and a(t) with mass, but they don't give mass in this problem
 
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so here is what i have:

T= 1.3s
r= 5.6
tf= 40 s
 
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if i had mass, i could just plug it into T=(mv^2)/r

v would be easy to find
 
ahhhhh 45 minutes. any help would be appreciated
 
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