An astronaut is being tested in a centrifuge. the centrifuge has a radius of 10.4 m and in starting, rotates according to ϕ = (0.326 rad/s2)t2. when t = 5.60 s, what are the astronaut's
(a) angular speed,
(b) tangential speed,
(c) tangential acceleration
(d) radial acceleration?

3.6512 rad/s

37.97248 m/s

6.7808 m/s²

138.645118976 m/s²

Explanation:

r = Radius of centrifuge = 10.4 m

Differentiating with respect to time

At t = 5.6 s

Angular speed is 3.6512 rad/s

Tangential speed is given by

The tangential speed is 37.97248 m/s

Angular acceleration is given by

Tangential acceleration is given by

The tangential acceleration is 6.7808 m/s²

Radial acceleration is given by

The radial acceleration is 138.645118976 m/s²

the simple machine has three main features. they are:

fulcrum is the center point or pivot point of the machine. effort is input force/ applied force. load is external force/ output.

the keisha 's machine labels are

x : load

y: fulcrum

z: lever

energy stored in the capacitor= 9.72 x 10⁻⁴ j

explanation:

the energy stored in the capacitor is given by

e= 1/2 c v²

e= energy stored

c= capacitance= 1.5 µc= 1.5 x 10⁻⁶f

v= potential difference=36 v

so energy stored= e= 1/2 (1.5 x 10⁻⁶) (36)²

energy stored= 9.72 x 10⁻⁴j