Physics
Physics
Problem
A rotating circular platform has a radius of . One insect sits at the rim (point A), while another sits from the centre (point B). The platform turns through revolutions. a. (i) Calculate the linear distance travelled by point A. b. (ii) Calculate the linear distance travelled by point B. c. (iii) How much farther does point A travel than point B?Intuitive explanation
The key insight is that angular displacement is the same for both insects—they rotate through identical angles—but linear displacement depends on how far each one sits from the axis. Even though both insects travel through revolutions, the one at the rim traces a much longer arc because it has a larger radius. Use the relationship between arc length, radius, and angle (in radians) to find how far each insect actually travels along its circular path.
Intuitive explanation
The key insight is that angular displacement is the same for both insects—they rotate through identical angles—but linear displacement depends on how far each one sits from the axis. Even though both insects travel through revolutions, the one at the rim traces a much longer arc because it has a larger radius. Use the relationship between arc length, radius, and angle (in radians) to find how far each insect actually travels along its circular path.