How can I determine the speed of a bullet using rotation?

[skinnyabbey]

The speed of a moving bullet can be deter-
mined by allowing the bullet to pass through
two rotating paper disks mounted a distance
69:1 cm apart on the same axle. From the
angular displacement 39:7 ± of the two bul-
let holes in the disks and the rotational speed
596 rev=min of the disks, we can determine
the speed v of the bullet. Find the speed v of the bullet.

Can anyone help me with this problem

 

[Fermat]

Can you show what work you have done on this ?

If you show us some working, we can sort out any mistakes and add suggestions.

 

[skinnyabbey]

Can you show what work you have done on this ?
If you show us some working, we can sort out any mistakes and add suggestions.

firstly, i converted the angle to radians. I then tried to find the displacement using (theta *r),...and then the velocity. But i don't think I'm using the right formula because the final answer does not look right.

 

[Fermat]

You want to find the speed of the bullet, that is the question.

You are given the distance between the two discs. 69.1 cm.
All you need now is to find the time it took the bullet to pass from one disc to the next.

What is tha angular velocity of the rotating discs ?
What is the angular displacement the disc(s) have gone through while the bullet has passed through ?
How much time did it take to go through this angular displacement ?

Hint: θ = ωt

 

[skinnyabbey]

cheers

You want to find the speed of the bullet, that is the question.
You are given the distance between the two discs. 69.1 cm.
All you need now is to find the time it took the bullet to pass from one disc to the next.
What is tha angular velocity of the rotating discs ?
What is the angular displacement the disc(s) have gone through while the bullet has passed through ?
How much time did it take to go through this angular displacement ?
Hint: θ = ωt

thanks. I've worked it out. Thanks a lot again. So angular displacement= angular velocity *time. And since time is scalar, its the same for the angular velocity, velocity, angular acceleration. etc. right? thank you

 

[Fermat]

Rotational eqns of motion are very similar to linear eqns of motion.

Linear
s = ut + ½at²
v² = u² + 2as
v = u + at

Rotational
θ = ωt + ½αt²
ω_f² = ω_i² + 2αθ
ω_f = ω_i + αt

 

[skinnyabbey]

Rotational eqns of motion are very similar to linear eqns of motion.
Linear
s = ut + ½at²
v² = u² + 2as
v = u + at
Rotational
θ = ωt + ½αt²
ω_f² = ω_i² + 2αθ
ω_f = ω_i + αt

that didn't answer my question, but thanks regardless

 

[Fermat]

Sorry, skinnyabbey, bit I wasn't at all sure what your question was, so I posted some general info about rotational and linear eqns of motion.

You said, "And since time is scalar, its the same for the angular velocity, velocity, angular acceleration. etc. right?"

What is it that is supposed to be the same for ...

 

[Obe]

Δθ/Δt=ω
t=θ/ω
t=given angle/(rpm*360 degrees/60 seconds)

x=v(avg)t
v=x(given)/t(solved for above)