A) Starting from rest, you accelerate your car towards the edge of a 100 meter h

Question

A) Starting from rest, you accelerate your car towards the edge of a 100 meter high cliff at 6 m/s2 and land 40 meters from the base of the cliff. How far from the edge of the cliff did you start your car?

B)  Astronauts use a centrifuge to simulate the acceleration of a rocket launch. The centrifuge takes 30 s to speed up from rest to its top speed of 1 rotation every 1.5 s. The astronaut is strapped into a seat 5.0 m from the axis.

a. What is the astronaut’s tangential acceleration during the first 25 s?

b. Who many g’s of acceleration does the astronaut experience when the device is rotating at top speed? [Each 9.8 m/s2 of acceleration is 1 g.]

Explanation / Answer

(B)

(a)

the astronaut’s tangential acceleration during the first 25 s is

a _tan = v/t = ( 2 pi r/ T) /t = ( 2 pi ( 5.0 m)/1.5 s)/ 25s =0.837 m/s^2

(b)

the rotational accleratio n is

a_rot = v^2/r =  (2 pi ( 5.0 m)/1.5 s)^2/ 5.0 m = 87.62 m/s^2

in terms of g

a _rot = 87.62 m/s^2 /g = 8.94 g

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