How to Calculate the Angular Velocity -Circular Motion JAMB REPEATED TOPIC

Описание: How to Calculate Angular Velocity Easily | Circular Motion for JAMB & WAEC Students

Welcome to another exciting tutorial from Instructor Alison, your number one math and science tutor in Pidgin English and standard English. In this video, we go straight into a very important and popular topic in physics called circular motion. Specifically, we’re going to focus on how to calculate angular velocity — a topic that always comes out in WAEC, JAMB, NECO, and even post-UTME exams.

If you’re preparing for JAMB or WAEC and struggling with physics, or you just want to brush up your knowledge on circular motion, this video is for you. I will break it down using simple English and easy-to-follow steps so that even if you’re hearing this for the first time, you’ll understand and remember it.

What is Angular Velocity?
Angular velocity is a measure of how fast something is rotating or moving in a circular path. It tells you how much angle (in radians) an object covers in a certain amount of time. Think about the hands of a clock going around — that’s circular motion. The faster the hand goes around, the higher the angular velocity.

The unit of angular velocity is radians per second (rad/s).

The formula for angular velocity is:

ω = 2πn / t
Where: ω (omega) = angular velocity in rad/s
n = number of revolutions or oscillations
t = time taken in seconds
2π radians = angle covered in one full revolution

Given in the question:
Number of oscillations (n) = 30
Time (t) = 6 seconds

Let me show you guys another approach:
Step-by-step Solution:

Step 1: Write down the formula
ω = 2πn / t

Step 2: Substitute the values into the formula
ω = (2 × π × 30) / 6

Step 3: Calculate it
ω = (60π) / 6
ω = 10π rad/s

Step 4: Use the calculator (if needed)
π ≈ 3.1416
So, ω ≈ 10 × 3.1416 = 31.416 rad/s
The angular velocity is approximately 31.42 rad/s

The particle completed 30 full oscillations in just 6 seconds. That means it’s rotating very fast. We multiplied the number of oscillations by 2π because each full rotation or oscillation is equal to 2π radians. That’s how we got the total angular distance covered in radians. Then, we divided by time to find the angular velocity.

Tips to Remember:
1 full revolution = 2π radians
Always express time in seconds
Don’t forget your units (rad/s)

Where Students Make Mistakes:
Forgetting to multiply by 2π
Using degrees instead of radians
Not converting time to seconds
Forgetting units in the final answer

This kind of question is very common in WAEC and JAMB physics exams, especially in topics like Simple Harmonic Motion, Circular Motion, and Rotational Dynamics. If you master how to use this formula, you’ll gain confidence and accuracy in the physics section of any exam.

I know physics can look hard sometimes, but with the right explanation and enough practice, you can master it. That’s why I’m here. If you enjoy this style of teaching and you want more physics, math, and chemistry lessons explained step by step in both English and Pidgin English, then you’re in the right place.

Don’t keep this to yourself. Share this video with your classmates, your school WhatsApp group, your teacher, and even your younger siblings. The more people that understand science, the better our country will become.

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