Question

Need.)

bone loss while they are in outer space. The space station is designed so that it has a radius of 75.3 m and it
NASA wants to build a space station that simulates gravity so that the astronauts do not experience as much
rotates counter clockwise. What is the astronaut's tangential speed when the station is operating properly?

Answer 1

The astronaut's tangential speed when the space station is operating properly is approximately 0.447 m/s.

Step-by-step explanation:

To calculate the astronaut's tangential speed when the space station is operating properly, we need to find the angular velocity of the station. The formula to calculate angular velocity is:

ω = √(g / r)

where ω is the angular velocity, g is the artificial gravity (9.80 m/s²), and r is the radius of the station (75.3 m). Plugging in the values, we get:

ω = √(9.80 / 75.3)

Calculating this, the astronaut's tangential speed is approximately 0.447 m/s.