How to find Angular Speed when given frequency?

AI Thread Summary
To find the average angular speed of a bike riding around a floral clock with a radius of 15.5 m, the formula ω = velocity/radius is used. The calculation involves converting the number of revolutions into radians, resulting in (16 rev * 2π rad) over 270 seconds, yielding an angular speed of approximately 0.372 rad/s. A participant initially questioned the relevance of the radius in this context but was corrected, confirming that the radius does not affect the angular speed calculation directly. The discussion highlights the importance of accurately converting time units and understanding the relationship between revolutions and radians. The final answer is confirmed as correct, emphasizing the simplicity of the angular speed calculation.
Fernando Calvario
Messages
13
Reaction score
1

Homework Statement


A floral clock in Japan has a radius of 15.5 m. If you ride a bike around the clock, making 16.0
revolutions in 4.50 min, what is your average angular speed?

Homework Equations


ω = velocity/radius ; 1 rev=2*pi rad

The Attempt at a Solution


(16 rev*2*pi rad)/270 secs = 0.372 rad/s ...Not sure about this since I don't know what to do with the r
 
Physics news on Phys.org
Hi Fernando Calvario and welcome to PF.

Fernando Calvario said:
(16 rev*2*pi rad)/270 secs = 0.372 rad/s ...Not sure about this since I don't know what to do with the r
Do nothing with r. You have answered the question.
 
I get a slightly different answer. Where did the value of the divisor come from in your formula?
 
4.5minutes*60 secs
 
  • Like
Likes Tom.G
Oops, my mistake. You are right.
Sorry.
 
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Struggling to make relation between elastic force and height'

Thread 'Struggling to make relation between elastic force and height'

Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
View full post »

Similar threads

Angular Acceleration Homework: 962 Revolutions in 10 Secs
Replies
1
Views
4K
Calculating Flywheel Rotations in Angular Speed and Constant Acceleration
Replies
10
Views
2K
How to calculate angular speed?
Replies
7
Views
3K
What is the angular speed of the rollers after 1.14 s?
Replies
2
Views
1K
Getting frequency from angular momentum?
Replies
14
Views
2K
Find the angular speed at t=3 seconds
Replies
4
Views
3K
Find Angular Velocity when given Angular Acceleration?
Replies
1
Views
2K
Finding the angular frequency of an object
Replies
3
Views
1K
Riding a bicycle around a tree w/ constant acceleration
Replies
20
Views
3K
Calculating Angular Acceleration for a Rotating Compact Disc
Replies
5
Views
14K

Hot Threads

Recent Insights

Back
Top