How Can I Solve These Rotational Kinematics Problems?

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SUMMARY

This discussion focuses on solving two rotational kinematics problems involving angular acceleration and displacement. The first problem involves a spinning wheel with an angular acceleration of -4.00 rad/s², changing its angular velocity to -25.0 rad/s over a time period of 12.5 seconds, with zero angular displacement. The second problem concerns a fan blade with a constant angular acceleration of 2.00 rad/s², which rotates through an angle of 285 radians in 11.0 seconds, taking 7.45 seconds to reach the beginning of the interval from rest.

PREREQUISITES
  • Understanding of angular acceleration and angular velocity
  • Familiarity with Newtonian rotational equations
  • Knowledge of angular displacement concepts
  • Ability to interpret rotational motion diagrams
NEXT STEPS
  • Study the application of Newtonian rotational formulas in detail
  • Learn how to calculate angular displacement using angular velocity and acceleration
  • Explore the relationship between angular acceleration and time in rotational motion
  • Review the concept of revolutions in terms of radians, specifically 2π radians
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Students studying physics, particularly those focusing on rotational kinematics, as well as educators seeking to enhance their teaching methods in this area.

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Rotational Kinematics HELP!?

I desperately need help with two rotational kinematics problems. I do not know what to do in both cases. If someone could be kind enough to go through a solution for me to see it would be very helpful in understanding the problem. Please try and be detailed in your answer as I really want to understand how it is solved.

Homework Statement

1) A spinning wheel on a fireworks display is initially rotating in a counterclockwise direction. The wheel has an angular acceleration of -4.00rad/s2. Because of this acceleration, the angular velocity of the wheel changes from its initial value to a final value of -25.0rad/s. While this change occurs, the angular displacement of the wheel is zero. Find the time required for the change in the angular velocity to occur.
Answer: 12.5s

2) A fan blade whose angular acceleration is a constant 2.00 rad/s^2 rotates through an angle of 285 radians in 11.0s. How long did it take the blade starting from rest to reach the beginning of the 11.0s interval?
Answer: 7.45s

Homework Equations


Newtonian rotatational formulae.

The Attempt at a Solution


no idea i did the last 20 problems no problems but these 2 are stumping me.
 
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These hints should be enough:

1).negative acceleration means deceleration.
zero angular displacement means one complete revolution.
counter clockwise is positive direction.

2).2 pi radian = 1 revolution.
calculate the distance traversed in the desired time interval.
 
1) A spinning wheel on a fireworks display is initially rotating in a counterclockwise direction. The wheel has an angular acceleration of -4.00rad/s2. Because of this acceleration, the angular velocity of the wheel changes from its initial value to a final value of -25.0rad/s. While this change occurs, the angular displacement of the wheel is zero. Find the time required for the change in the angular velocity to occur.
Answer: 12.5s
I don't see how there's enough information there to answer the question. Specifically, what is the initial angular velocity?
 

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