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.

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees. 

the bal will not change its velocity.