Inv3.Exp2 Math 1

Front

What is angular acceleration?

Back

Angular acceleration is the rate of change of angular velocity over time, typically measured in radians per second squared (rad/s²).

Front

How do you calculate average angular acceleration?

Back

Average angular acceleration can be calculated using the formula: \( \alpha = \frac{\Delta \omega}{\Delta t} \), where \( \Delta \omega \) is the change in angular velocity and \( \Delta t \) is the time interval.

Front

What is centripetal acceleration?

Back

Centripetal acceleration is the acceleration directed towards the center of a circular path, necessary for an object to maintain circular motion, calculated as \( a_c = \frac{v^2}{r} \), where \( v \) is the linear speed and \( r \) is the radius.

Front

How do you calculate centripetal acceleration?

Back

Centripetal acceleration can be calculated using the formula: \( a_c = \frac{v^2}{r} \), where \( v \) is the linear speed and \( r \) is the radius of the circular path.

Front

What is the formula for the period of a satellite in orbit?

Back

The period of a satellite can be calculated using the formula: \( T = \frac{2\pi r}{v} \), where \( r \) is the distance from the center of the planet to the satellite and \( v \) is the orbital speed.

Front

What is the relationship between speed and period for a satellite?

Back

The speed of a satellite is inversely related to its period; as the speed increases, the period decreases, and vice versa.

Front

How do you find the radius of a circular path?

Back

The radius of a circular path can be found using the formula: \( r = \frac{v^2}{a_c} \), where \( v \) is the linear speed and \( a_c \) is the centripetal acceleration.

Front

What is the significance of the radius in circular motion?

Back

The radius determines the size of the circular path and affects both the centripetal acceleration and the period of an object in circular motion.

Front

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

Back

The speed of a satellite can be calculated using the formula: \( v = \sqrt{\frac{GM}{r}} \), 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

What is the gravitational constant (G)?

Back

The gravitational constant (G) is a fundamental physical constant used in the calculation of gravitational forces, approximately equal to \( 6.674 \times 10^{-11} \, m^3 kg^{-1} s^{-2} \).