rocket.png

Rocket

Theme A - Space, Time & Motion

thermometer.png

Thermometer

Theme B - The Particulate Nature Of Matter

water-wave.png

Water Wave

Theme C - Wave Behaviour 

magnifying-glass-tilted-right.png

Magnifying Glass Tilted Right

Theme D - Fields

microscope.png

Microscope

Theme E - Nuclear & Quantum Physics

<ul>
	<li>Just as we have equations for things moving in straight lines (like a car racing 🏎️), we&#39;ve got a set for things that go round and round (like a fidget spinner 💿).</li>
	<li>The Heroes of our Story: Angular displacement (how much it turned), angular velocity (how fast it&#39;s spinning), and angular acceleration (how quickly the spinning speed is changing).</li>
</ul>

🎓 Note: These are like the cousins of displacement, velocity, and acceleration in straight-line motion.

<ul>
	<li>&omega;f: Final angular velocity</li>
	<li>&omega;i: Initial angular velocity</li>
	<li>&alpha;: Angular acceleration</li>
	<li>&theta;: Angular displacement</li>
	<li>t: Time</li>
</ul>

<ul>
	<li>&omega;f = &omega;i + &alpha;t</li>
	<li>&theta; = &omega;i t + 1/2 &alpha;t2</li>
	<li>&omega;f2 = &omega;i2 + 2&alpha;&theta;</li>
	<li>&theta; = (&omega;f + &omega;i)/2 &times; t</li>
</ul>

Example I: Imagine a wheel 🎡 starting from a standstill and you push it so that it&#39;s spinning faster and faster.

<ul>
	<li>Given: &alpha; = 16rads-2, t = 5.0s</li>
	<li>Final angular velocity, &omega;f = 80rads-1</li>
	<li>Total spin during this? 32 full spins! (because every full spin is like going around the entire circumference, which is 2&pi;rads).</li>
</ul>

Example II: Picture a spinning top 🎠, which is initially spinning fast but then slows down.

<ul>
	<li>Given: &omega;i = 30rads-1, &alpha; = -0.45rads-2, &omega;f = 5.0rads-1</li>
	<li>How many spins before it falls? 150 spins!</li>
	<li>Time until topple? 56 seconds.</li>
</ul>

Example III: Think about a merry-go-round 🎠 where kids shout to go faster.

<ul>
	<li>Given: r = 2.0m, t = 16s, total spin = 2 rounds</li>
	<li>Angular acceleration, &alpha; = 0.098rads-2</li>
	<li>Final speed at the edge? 3.1ms-1</li>
	<li>Time for the first round? 11 seconds.</li>
</ul>

<ul>
	<li>A wheel speeding up 🏍️.</li>
	<li>A washing machine getting to its spin cycle speed 🌀.</li>
	<li>A drill powering up ⚙️ and then stopping when it gets stuck.</li>
	<li>A flywheel accelerating 🎡.</li>
</ul>

<ul>
	<li>If something is speeding up, &alpha; is positive.</li>
	<li>If something is slowing down, &alpha; is negative.</li>
	<li>For every full round, the motion is 2&pi; rads.</li>
</ul>

✨ Study Tip: Always visualize the problem. Imagine you&#39;re on that merry-go-round or watching that spinning top. It makes these equations a lot more fun and understandable!

&nbsp;

Now, happy spinning and calculating! 🌪️📚

Theme A - Space, Time & Motion

Unlock The Secrets Of Angular Acceleration!

Table of content

Key concepts 🌀

Table of secrets (or the notations we use) 🔍

Rotational kinematic equations (the magical formulas!) 🌀

Unlock the Full Content!

Theme A - Space, Time & Motion

Unlock The Secrets Of Angular Acceleration!

Table of content

Key concepts 🌀

Table of secrets (or the notations we use) 🔍

Rotational kinematic equations (the magical formulas!) 🌀

Unlock the Full Content!