Inv3.Exp2 Math Total

Front

What is centripetal acceleration?

Back

Centripetal acceleration is the acceleration directed towards the center of a circular path that an object follows. It is calculated using the formula: a_c = v^2 / r, where v is the linear velocity and r is the radius of the circular path.

Front

How do you calculate angular acceleration?

Back

Angular acceleration (α) is calculated by the change in angular velocity (Δω) divided by the time interval (Δt) during which the change occurs. The formula is: α = (ω_final - ω_initial) / Δt.

Front

What is the formula for orbital velocity?

Back

The orbital velocity (v) of a satellite is calculated using the formula: v = √(G * M / 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 to the satellite.

Front

What is the period of a satellite?

Back

The period (T) of a satellite is the time it takes to complete one full orbit around a planet. It can be calculated using the formula: T = 2πr / v, where r is the radius of the orbit and v is the orbital velocity.

Front

Define angular speed.

Back

Angular speed (ω) is the rate at which an object rotates or revolves around a central point. It is measured in radians per second (rad/s).

Front

What is the relationship between linear velocity and angular velocity?

Back

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

Front

What is the gravitational constant (G)?

Back

The gravitational constant (G) is a fundamental physical constant used in the calculation of gravitational forces between two masses. Its value is approximately 6.674 × 10^-11 N(m/kg)^2.

Front

How do you convert height above the surface to distance from the center of the planet?

Back

To convert height (h) above the surface to distance (r) from the center of the planet, use the formula: r = radius of the planet + h.

Front

What is the significance of the radius in circular motion?

Back

The radius is crucial in circular motion as it determines the distance from the center of the circular path to the object, affecting both centripetal acceleration and angular velocity.

Front

What is the formula for centripetal force?

Back

Centripetal force (F_c) is calculated using the formula: F_c = m * a_c, where m is the mass of the object and a_c is the centripetal acceleration.