How long to rotate *One* degree?

[AlecWins]

Hi,

Feels like a simple one but for reason I am stumped.

If I am rotating at 11.2 rad/s, how long will it take to rotate ONE single degree?

-
Converting 11.2 rad/s into °/s, I get 641.71 °/s. So, this is equivalent to 1.783 rev/s.
At this point, do I divide 1 revolution by how many degrees I travel per second i.e. 1/641.71?
Or
Do I divide by the number of revolutions per second i.e. 1.783/641.71?

What would be the solution to the time taken to rotate one single degree when rotating at 11.2 rad/s?

Thanks.

 

[A.T.]

how long will it take to rotate ONE single degree?... I get 641.71 °/s.

Replace the number with simpler one, like 2 °/s, and think how you would compute the answer to your question then.

 

[Windadct]

Always helpful to include the units in your math - the units are multiplied divided, and canceled the same as the numbers...or ion this case - write down the units you want to answer to be in, so you can see the necessary steps.

so you are asking how to get s/° (seconds (time) to move (per) One Degree) but you have °/s...

 

[AlecWins]

so you are asking how to get s/° (seconds (time) to move (per) One Degree) but you have °/s...

Thanks for the clarification, so doing 1/641.71 would convert it to s/° which is what I am ultimately looking for. Makes sense now.

 

[ZapperZ]

Hi,

Feels like a simple one but for reason I am stumped.

If I am rotating at 11.2 rad/s, how long will it take to rotate ONE single degree?

-
Converting 11.2 rad/s into °/s, I get 641.71 °/s. So, this is equivalent to 1.783 rev/s.
At this point, do I divide 1 revolution by how many degrees I travel per second i.e. 1/641.71?
Or
Do I divide by the number of revolutions per second i.e. 1.783/641.71?

What would be the solution to the time taken to rotate one single degree when rotating at 11.2 rad/s?

Thanks.

Wouldn't this be easier if you convert 1 degree into radian? You already know the "speed" is 11.2 rad/s. You now need to find the time it takes to "move" 1 radian.

If you are confused with this, try this equivalent situation. You are moving with speed of 11.2 m/s. How long does it take for you to move 1 m?

Zz.