Inv3.Exp2 Math Total

Front

What is the formula for calculating the period of a satellite?

Back

T = 2π√(r³/GM), where T is the period, r is the distance from the center of the planet to the satellite, G is the gravitational constant, and M is the mass of the planet.

Front

Define centripetal acceleration.

Back

Centripetal acceleration is the acceleration directed towards the center of a circular path, calculated as a_c = v²/r, where v is the linear velocity and r is the radius of the circular path.

Front

What is orbital velocity?

Back

Orbital velocity is the speed required for an object to stay in orbit around a planet, calculated using the formula v = √(GM/r), where G is the gravitational constant, M is the mass of the planet, and r is the distance from the center of the planet.

Front

How do you calculate the height of a synchronous orbit above a planet's surface?

Back

Height = (GM/(4π²))(T²) - radius of the planet, where T is the orbital period.

Front

What is the relationship between angular speed and linear speed?

Back

Linear speed (v) is related to angular speed (ω) by the formula v = ωr, where r is the radius of the circular path.

Front

Define gravitational constant (G).

Back

The gravitational constant (G) is a universal constant used in the calculation of gravitational forces, approximately equal to 6.674 x 10^-11 N(m/kg)².

Front

What is the radius of Mars?

Back

The radius of Mars is approximately 3.39 x 10^6 meters.

Front

What is the mass of Earth?

Back

The mass of Earth is approximately 5.97 x 10^24 kilograms.

Front

How do you convert days into seconds for orbital calculations?

Back

To convert days into seconds, multiply the number of days by 86400 (the number of seconds in a day).

Front

What is the formula for centripetal acceleration in terms of angular speed?

Back

Centripetal acceleration can also be expressed as a_c = ω²r, where ω is the angular speed.