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Rates in Mechanical Systems for Linear and Angular Motion Studies

Learn about speed, velocity, acceleration in linear and angular motion with detailed explanations, graphs, and formulas. Explore concepts of instantaneous and average speed and delve into angular speed and acceleration calculations.

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Rates in Mechanical Systems for Linear and Angular Motion Studies

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  1. Rate in Mechanical Systems 3.1

  2. Linear • Speed • Δd/Δt • Graphs—slope—rise over run • Instantaneous speed • Average speed

  3. Linear • Velocity • Speed and direction • velocity= displacement/time

  4. Linear • Acceleration • The rate of change of an object’s velocity • Change in speed or direction • Uniform vs. nonuniform • aave = Δv/Δt

  5. Angular • Speed • ω = Δθ/Δt (angular speed = angular displacement divided by time interval) • 1 revolution = 360° = 2π radians • v = rω

  6. Angular • Acceleration • Δω = ω2 – ω1 • α = Δ ω/ Δt

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