| Exam Board | OCR |
|---|---|
| Module | Further Mechanics AS (Further Mechanics AS) |
| Session | Specimen |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Circular Motion 1 |
| Type | Radial and transverse acceleration |
| Difficulty | Moderate -0.8 This is a straightforward circular motion question requiring only standard formulas: v = 2πr/T for speed and a = v²/r for centripetal acceleration. The calculations are direct substitutions with no problem-solving or conceptual challenges, making it easier than average but not trivial since it requires correct application of circular motion principles. |
| Spec | 6.05a Angular velocity: definitions6.05b Circular motion: v=r*omega and a=v^2/r |
| Answer | Marks | Guidance |
|---|---|---|
| 1 | (i) | 2(cid:83) |
| Answer | Marks |
|---|---|
| Using v(cid:32)r(cid:90)(cid:32)3.93ms-1 | B1 |
| Answer | Marks | Guidance |
|---|---|---|
| [3] | 1.1a | |
| 1.1, 1.1 | 3.9269908… | |
| 1 | (ii) | (cid:11)5(cid:83) (cid:12)2 |
| Answer | Marks |
|---|---|
| The direction is towards the centre O | M1 |
| Answer | Marks |
|---|---|
| [3] | 1.1 |
| Answer | Marks |
|---|---|
| 1.1 | n |
| Answer | Marks |
|---|---|
| May be awarded from incorrect a. | 10.280837… |
| Answer | Marks |
|---|---|
| 1(ii) | a |
Question 1:
1 | (i) | 2(cid:83)
(cid:32)2.4
(cid:90)
Using v(cid:32)r(cid:90)(cid:32)3.93ms-1 | B1
M1A1
[3] | 1.1a
1.1, 1.1 | 3.9269908…
1 | (ii) | (cid:11)5(cid:83) (cid:12)2
v2
a(cid:32) (cid:32) 4
r 1.5
a(cid:32)10.3
The direction is towards the centre O | M1
A1
B1
[3] | 1.1
1.1
1.1 | n
v2
Applying either or r(cid:90)2 with their v.
r
e
Magnitude, accept 10.3 ms-2
May be awarded from incorrect a. | 10.280837…
--- 1(i) ---
1(i)
t
f
--- 1(ii) ---
1(ii) | a
r
DA roundabout in a playground can be modeled as a horizontal circular platform with centre $O$. The roundabout is free to rotate about a vertical axis through $O$. A child sits without slipping on the roundabout at a horizontal distance of 1.5 m from $O$ and completes one revolution in 2.4 seconds.
\begin{enumerate}[label=(\roman*)]
\item Calculate the speed of the child. [3]
\item Find the magnitude and direction of the acceleration of the child. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR Further Mechanics AS Q1 [6]}}