Physics Circular Motion and Energy Concepts

Angular Displacement (theta) is calculated using the formula theta = s / ______.

The formula for Net Work according to the Work-Energy Theorem is Sigma W = Delta ______.

Linear velocity can be determined by the equation v = r * ______.

Gravitational Potential Energy (GPE) is calculated using the formula PE_gravity = m * g * ______.

The work done from power and time can be expressed as W = P * ______.

Rotational Kinetic Energy (KE_rot) is given by the equation KE_rot = (1/2) * I * ______^2.

The equation for work from force and displacement is W = F * d * cos(______).

Power is expressed using the formula P = W / ______.

Circular Motion

Angular Displacement (θ): θ = s/r, where s is arc length and r is radius.
Angular Velocity (ω): ω = θ/t, where θ is angular displacement and t is time. ω represents angular velocity in radians per second.
Linear and Angular Quantities: v = rω (linear velocity), a = rα (linear acceleration).

Work and Energy

Net Work (ΣW): ΣW = ΔKE = KE_b - KE_a, where KE is kinetic energy.
Work from Force and Displacement: W = Fdcos(θ), where F is force, d is displacement, and θ is the angle between force and displacement.
Work from Power and Time: W = Pt, where P is power and t is time.
Net Work from Multiple Forces: ΣW = W₁ + W₂ + W₃ + ...
Gravitational Potential Energy (GPE): PE_gravity = mgh, where m is mass, g is acceleration due to gravity, and h is height.

Elastic Potential Energy (EPE)

Elastic Potential Energy: PE_elastic = (1/2)kx², where k is the spring constant and x is the displacement from equilibrium.

Conservation of Energy

Without External Forces: ΣE_a = ΣE_b, where E represents total energy at points A and B.
With External Forces: ΣE_a = ΣE_b + ΣW, where ΣW is the work done by external forces.

Linear and Rotational Energy Relationships

Linear Kinetic Energy (KE): KE = (1/2)mv², where m is mass and v is velocity.
Rotational Kinetic Energy (KE_rot): KE_rot = (1/2)Iω², where I is the moment of inertia and ω is angular velocity.

Power

Power: P = W/t, where P is power, W is work, and t is time..

This quiz covers essential principles of circular motion, work, and energy in physics. Key topics include angular displacement, work done by forces, and different forms of energy such as kinetic and potential energy. Test your understanding of these fundamental concepts in mechanics.