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cake90036
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A potter's wheel moves uniformly from rest to an angular speed of 0.23 rev/s in 29 s.
Find its angular acceleration in radians per second per second
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SUMMARY
The discussion focuses on calculating the angular acceleration of a potter's wheel that accelerates uniformly from rest to an angular speed of 0.23 revolutions per second (rev/s) over a duration of 29 seconds. Angular acceleration is defined as the rate of change of angular velocity, which can be calculated using the formula α = (ω_f - ω_i) / t, where ω_f is the final angular velocity, ω_i is the initial angular velocity, and t is the time taken. In this case, the initial angular velocity (ω_i) is 0 rev/s, leading to an angular acceleration of approximately 0.00793 radians per second squared (rad/s²) when converted from rev/s to rad/s.
PREREQUISITES- Understanding of angular motion concepts
- Familiarity with the formula for angular acceleration
- Knowledge of unit conversion from revolutions per second to radians per second
- Basic algebra skills for solving equations
- Learn how to convert angular velocity units from rev/s to rad/s
- Study the principles of uniform angular acceleration
- Explore real-world applications of angular acceleration in mechanical systems
- Investigate the relationship between linear and angular motion
This discussion is beneficial for physics students, mechanical engineers, and anyone interested in the principles of rotational dynamics and angular motion calculations.