100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home

Summary

Summary A level physics 9702 topic circular motion

 14 views  1 purchase
  • Institution
  • CIE

Contains all the definitions, formula and equations required for topic circular motion of cie 9702 physics syllabus

Preview 4 out of 11  pages

  • July 21, 2024
  • 11
  • 2023/2024
  • Summary
All documents for this subject (9)
avatar-seller
Alevelnotez
Circular Motion
Physics

, Circular Motion


Circular Motion




θ is the angular displacement (measured in radian)
Unit of θ : rad

Angular Velocity, w

It is the rate of change of angular displacement swept by the radius.
Δθ
w=
Δt
θ
w= ⇒θ=wt
t
S.I Unit of w: rad s−1

Time Period
Time to complete 1 cycle
θ
w=
t
For 1 cycle: θ=2 π , t=T

w=
T

1
Frequency of Rotation: f =
T

w=
T
w=2 π ()
1
T
w=2 π f
w: Angular frequency
f: Frequency




2

, Circular Motion



Linear Speed, v
distance
speed=
time
Distance for 1 cycle = 2 π r
2π r Time for 1 cycle = T
v=
T

v= ⋅r
T
r: Radius of circle
v=wr




The Radian (1 rad)
It is the angle subtended at the centre of a circle by an arc length equal to the radius.




s=r
s=r θ
θ=1rad




Centripetal Force, Fc
It is the resultant force acting towards the centre of the circular path.


3

, Circular Motion



The body is moving with uniform speed but its velocity is continuously changing since direction
of motion is changing.
This change in velocity causes the body to accelerate and the centripetal acceleration is directed
radially inwards, towards the centre. From F = ma, a resultant force is produced.

Note:
1. The velocity is always tangential to the circular path.

2. The centripetal acceleration and centripetal force have no component in the direction of
motion. Hence, the direction of velocity is always perpendicular to both centripetal acceleration
and centripetal force.




W . Dby resultant force=F × Δ r
Δ r : displacement ∈direction of force
r :const
Δ r=0
W . Dby resultant force=0 ( centripetal force )
Δ E k =0
Ek const (Speed const)
No work is done by the centripetal force because displacement in the direction of the force is
zero. Hence speed remains unchanged.

Centripetal Acceleration
a c =vw
a=( wr ) w
2
a=w r
a=v ()
v
r
, w=
v
r


4

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller Alevelnotez. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for £0.00. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

53068 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy revision notes and other study material for 14 years now

Start selling
Free  1x  sold
  • (0)