Question

A wall clock has a minute hand with a length of 0.46 m and an hour hand with a length of 0.24 m. Take the center of the clock as the origin, and use a Cartesian coordinate system with the positive x axis pointing to 3 o'clock and the positive y axis pointing to 12 o'clock. Write the vector that describes the displacement of a fly if it quickly goes from the tip of the minute hand to the tip of the hour hand at 3:00 P.M. (Let vector D represents the displacement of the fly.)

Answer 1

the vector that describes the displacement of a fly if it quickly goes from the tip of the minute hand to the tip of the hour hand at 3:00 P.M is ; { 0.24 m(i) - 0.46 m(j) }

Step-by-step explanation:

Given the data in the question;

as illustrated in the image below,

3:00 pm means

the hour hand is on 3 i.e along x-axis

while the minute hand is on 12 i.e along y-axis

so Displacement will be;

D = ( 0.24 + 0i) - ( 0 + 0.46j )

D = { 0.24 m(i) - 0.46 m(j) }

Therefore, the vector that describes the displacement of a fly if it quickly goes from the tip of the minute hand to the tip of the hour hand at 3:00 P.M is ; { 0.24 m(i) - 0.46 m(j) }