SUMMARY
The initial angular speed of the electric fan, which decelerates from a speed of 98 rad/sec to a stop over 1.83 seconds with a deceleration rate of 42.3 rad/sec², can be calculated using the kinematic equation for angular motion. The fan was running on HIGH for 13.2 minutes before the LOW button was pressed. The radius of the fan blades is 0.62 meters, which is relevant for converting angular speed to linear speed if needed.
PREREQUISITES
- Understanding of angular motion equations
- Familiarity with radians and revolutions
- Basic knowledge of kinematics
- Ability to perform unit conversions
NEXT STEPS
- Calculate angular speed using the formula ω = ω₀ + αt
- Learn about kinematic equations for rotational motion
- Explore the relationship between linear and angular velocity
- Study the effects of deceleration on rotating objects
USEFUL FOR
Students studying physics, particularly those focusing on rotational dynamics, as well as engineers and hobbyists working with electric motors and fans.