Question

1) The astronaut's sense of imbalance in a space flight is due to the rotation of a device in which he or she feels a fictitious gravity that mimics gravity. The the device rotates according to the mathematical equation: n =g^0.5/2πr^0.5 Where n is the rotational speed and is measured in rotations per second (s). (r) is the radius of the circulator and is measured in meters (m). (g) is a simulation of gravity. Calculate the rotation speed of a device, that has a radius of 1.7 meters and rotates to simulate the gravitational force which equals to: g = 9.8 m/s^2 with steps please

Answer 1

n = 0.38 rotation per second

Explanation:

The device rotates according to the mathematical equation :

`n=(g^(0.5))/(2\pi r^(0.5))` ...(1)

Where n is the rotational speed and is measured in rotations per second (s).

r is radius of the circulator and is measured in meters (m).

We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).

`n=((9.8)^(0.5))/(2\pi * (1.7)^(0.5))\\\\=0.38\ \text{rotations per second}`

Hence, the rotational speed is 0.38 rotation per second.