Question

The length of a minute hand of a clock is 4 cm. Find the distance and displacement of the tip of the minute hand when it moves during a time interval from 3: 15 pm to 3 : 45 pm.​

Answer 1

Answer:

Distance = 12.57 cm

Displacement = 8 cm

Explanation:

Distance covered in 1 hr = Circumference of clock

r = 4 cm

Circumference = 2πr = 2*22/7*4 = 176/7 cm

Time difference = 0345 hrs - 0315 hrs = 0030 hrs or 1/2 hr

Distance covered in 1/2 hr = Circumference * 1/2 = 176/7 * 1/2 = 88/7 cm

Distance = 12.57 cm

Displacement = Diameter

Displacement = 2r = 2*4 = 8 cm

Displacement = 8 cm