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

Answer:

n = 0.38 rotation per second

Step-by-step explanation:

The device rotates according to the mathematical equation :

$n=\dfrac{g^{0.5}}{2\pi r^{0.5}}$ ...(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).

$n=\dfrac{(9.8)^{0.5}}{2\pi \times (1.7)^{0.5}}\\\\=0.38\ \text{rotations per second}$

Hence, the rotational speed is 0.38 rotation per second.