m is in Kg, v is in m/s, R is in m, and F is in kg*(m/s^2). So the units in the equation F = mv^2/R are kg*m/s^2 = kg*(m/s)^2/m, which simplifies to kg*m/s^2 = kg*m^2/s^2/m, which simplifies to kg*m/s^2 = kg*m/s^2. Both sides of the equation match, so the correct units were used
My first time seeing this. I don't think I used it in high school. How do you cancel the units? R has to be unitless, right?
m is in Kg, v is in m/s, R is in m, and F is in kg*(m/s^2). So the units in the equation F = mv^2/R are kg*m/s^2 = kg*(m/s)^2/m, which simplifies to kg*m/s^2 = kg*m^2/s^2/m, which simplifies to kg*m/s^2 = kg*m/s^2. Both sides of the equation match, so the correct units were used
@@pioneeringproofs that's cool, thanks for the video.