A boat makes a circle in a lake. The radius of the curve is 25 meters and the boat makes a complete circle every 125 seconds. What is the speed of the uniform circular motion? v = 2r / T

Uniform circular motion equations

An object executing uniform circular motion can be described with equations of motion. The position vector of the object is →r(t)=Acosωt^i+Asinωt^j, r → ( t ) = A cos ω t i ^ + A sin ω t j ^ , where A is the magnitude |→r(t)|, | r → ( t ) | , which is also the radius of the circle, and ω is the angular frequency.

Explanation:

Uniform circular motion equations

An object executing uniform circular motion can be described with equations of motion. The position vector of the object is →r(t)=Acosωt^i+Asinωt^j, r → ( t ) = A cos ω t i ^ + A sin ω t j ^ , where A is the magnitude |→r(t)|, | r → ( t ) | , which is also the radius of the circle, and ω is the angular frequency.