Physics Circular Motion and Energy Concepts
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Questions and Answers

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

r

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

KE

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

omega

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

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

<p>t</p> Signup and view all the answers

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

<p>omega</p> Signup and view all the answers

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

<p>theta</p> Signup and view all the answers

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

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Flashcards

Angular Displacement (theta)

The arc length (s) divided by the radius (r) of the circular path. It's measured in radians.

Angular Velocity (omega)

The change in angular displacement (theta) over time (t). It's measured in radians per second.

Work-Energy Theorem

The total work done on an object is equal to the change in its kinetic energy. This means work can increase or decrease the object's motion.

Potential Energy (PE)

The energy an object possesses due to its position relative to a reference point. It can be gravitational or elastic.

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Kinetic Energy (KE)

The energy of motion - an object's ability to do work because it's moving. It's calculated as half the mass multiplied by the velocity squared.

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Conservation of Energy

Total energy remains constant in an isolated system, meaning it's neither gained nor lost. Energy changes forms, but the total amount stays the same.

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Power

The rate at which work is done. It's calculated by dividing the work done by the time taken.

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Rotational Kinetic Energy (KE_rot)

Energy associated with an object's rotation. It's calculated as half the moment of inertia multiplied by the angular velocity squared.

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Study Notes

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 = KEb - KEa, 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): PEgravity = mgh, where m is mass, g is acceleration due to gravity, and h is height.

Elastic Potential Energy (EPE)

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

Conservation of Energy

  • Without External Forces: ΣEa = ΣEb, where E represents total energy at points A and B.
  • With External Forces: ΣEa = ΣEb + 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 (KErot): KErot = (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..

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Description

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.

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