A disk is rotating with an angular velocity of 10 rad/s. If it experiences a constant angular acceleration of 2 rad/s², what will be its angular velocity after 5 seconds?
Practice Questions
1 question
Q1
A disk is rotating with an angular velocity of 10 rad/s. If it experiences a constant angular acceleration of 2 rad/s², what will be its angular velocity after 5 seconds?
20 rad/s
10 rad/s
30 rad/s
15 rad/s
Using the formula ω = ω₀ + αt, we have ω = 10 + 2*5 = 20 rad/s.
Questions & Step-by-step Solutions
1 item
Q
Q: A disk is rotating with an angular velocity of 10 rad/s. If it experiences a constant angular acceleration of 2 rad/s², what will be its angular velocity after 5 seconds?
Solution: Using the formula ω = ω₀ + αt, we have ω = 10 + 2*5 = 20 rad/s.
Steps: 6
Step 1: Identify the initial angular velocity (ω₀). In this case, it is 10 rad/s.
Step 2: Identify the angular acceleration (α). Here, it is 2 rad/s².
Step 3: Identify the time (t) for which the acceleration is applied. In this case, it is 5 seconds.
Step 4: Use the formula for angular velocity: ω = ω₀ + αt.
Step 5: Substitute the values into the formula: ω = 10 + (2 * 5).
