Math Problem Statement
An object is moving in anti-clockwise direction along a circle of radius 10cm with an angular velocity of 0.2 radians/second. The circle is on (X,Y) plane with its center at the origin.(i) Assuming that the object starts from the position (10,0) at time t=0, find the X and Ydistances of the object at time t = 8 seconds.(ii) What is the (X,Y) location of the object at t=20 seconds?(iii) How much time it takes to complete one full rotation?
Solution
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Math Problem Analysis
Mathematical Concepts
Circular Motion
Parametric Equations
Angular Velocity
Formulas
Parametric equations of circular motion
Angular velocity formula
Angle displacement formula
Theorems
None
Suitable Grade Level
High School
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