Just like how you can create graphs for linear motion, you can also make graphs for rotational motion.
Think of these graphs as cousins - similar in many ways, but each with its unique traits.
From graph to equation 📊
Look at a graph of angular velocity (how fast something is spinning) vs. time.
The space (area) below the graph line tells us about the angular displacement (how far something has spun).
Math Fun! To get angular displacement, add up the areas: θ (angular displacement) = ωi t + ½ αt2.
The cool tool #3 - units matter! 🔍
Be careful with units; they're not just there to look fancy!
Time: Keep it simple. Always use seconds.
Angular Velocity: Use radians per time unit. Most common: rads-1.
Angular Acceleration: Matching time with angular velocity, usually rads-2. Avoid mixing units like rads-1 hour-1. (It's like mixing chocolate and pickles - not the best combo!)
Angular Displacement: This one's a bit sneaky. There are many ways to define it, but using radians is the way to go for most calculations. Here’s a tip - 1 revolution around a circle = 2π rad.
Unlock the Full Content!
Dive deeper and gain exclusive access to premium files of Physics SL. Subscribe now and get closer to that 45 🌟
Just like how you can create graphs for linear motion, you can also make graphs for rotational motion.
Think of these graphs as cousins - similar in many ways, but each with its unique traits.
From graph to equation 📊
Look at a graph of angular velocity (how fast something is spinning) vs. time.
The space (area) below the graph line tells us about the angular displacement (how far something has spun).
Math Fun! To get angular displacement, add up the areas: θ (angular displacement) = ωi t + ½ αt2.
The cool tool #3 - units matter! 🔍
Be careful with units; they're not just there to look fancy!
Time: Keep it simple. Always use seconds.
Angular Velocity: Use radians per time unit. Most common: rads-1.
Angular Acceleration: Matching time with angular velocity, usually rads-2. Avoid mixing units like rads-1 hour-1. (It's like mixing chocolate and pickles - not the best combo!)
Angular Displacement: This one's a bit sneaky. There are many ways to define it, but using radians is the way to go for most calculations. Here’s a tip - 1 revolution around a circle = 2π rad.
Unlock the Full Content!
Dive deeper and gain exclusive access to premium files of Physics SL. Subscribe now and get closer to that 45 🌟