25 Questions
What is the conversion factor to convert an angle from degrees to radians?
π/180
What is the formula involving ω to calculate the linear velocity of a particle in circular motion?
v = ωr
What is the physical interpretation of the angular velocity in circular motion?
The rate of change of angle with respect to time
What is the unit of linear velocity in circular motion?
ms⁻¹
What is the relationship between the arc length and the angle in radians in circular motion?
θ = s/r
What is the physical quantity that describes the speed of a particle in a direction perpendicular to the radius at a given point in circular motion?
Linear velocity
What is the SI unit of the time taken for one complete revolution, cycle, or oscillation of an object in circular motion?
Seconds (s)
What is the angular quantity that is the rate of change of angle with respect to time in circular motion and what is its formula?
Angular velocity ω=θ/t
How is the linear velocity of a particle in circular motion related to its angular velocity and radius?
v = ωr
What is the expression for the periodic time of an object in circular motion in terms of its angular velocity?
T = 2π / ω
What is the direction of centripetal acceleration in an object moving in uniform circular motion?
toward the centre of the circle
What is the condition necessary for an object to be accelerating, even if its velocity is constant?
changing direction
What is the formula for centripetal acceleration in terms of angular velocity and radius?
a = ω^2 r
What is the alternative formula for centripetal acceleration in terms of linear velocity and radius?
a = v^2/r
What is the unit of centripetal acceleration?
m s-2
What is the physical significance of centripetal force in uniform circular motion?
Centripetal force is the force required to maintain uniform circular motion, directing the object towards the center of the circle.
How does the mass of an object affect its centripetal force in circular motion?
The centripetal force is directly proportional to the mass of the object, meaning that as the mass increases, the centripetal force required to maintain circular motion also increases.
What determines the magnitude of centripetal force in circular motion?
The magnitude of centripetal force is determined by the square of the angular velocity, the mass of the object, and the radius of the circle.
How does the radius of the circle affect the centripetal force required to maintain circular motion?
The centripetal force is inversely proportional to the radius of the circle, meaning that as the radius increases, the centripetal force required to maintain circular motion decreases.
What is the relationship between centripetal force and acceleration in circular motion?
The centripetal force is the force that causes the centripetal acceleration, which is the acceleration that keeps an object moving in a circular path.
What is the force that balances the centripetal force in an object moving in circular motion?
Centrifugal force
What is the relationship between the periodic time of a satellite's orbit and the radius of the orbit, according to Kepler's third law?
The square of the periodic time is proportional to the cube of the radius of the orbit
What is the formula for the linear velocity of a body of mass m orbiting another body of mass M?
v = √(GM/R)
What is the physical significance of the periodic time of an orbit?
It is the time taken for a satellite to go once around the central body
What is the universal constant of gravitation that appears in Kepler's third law?
G
This quiz covers the basics of circular motion, including the measurement of angles in degrees and radians, linear velocity, and angular velocity. It also explores the formulas and units associated with these concepts.
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