wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A clock has a minute hand of length 14 cm. At what speed does the tip of the minute hand move in a duration of half an hour?


A

7450cms1

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

11450cms1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

44450cms1

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

16750cms1

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

11450cms-1


Step 1: Given Data

  1. The length of the minute hand of a clock is 14 cm.
  2. The minute hand moves for a time period of half an hour.So time t = 30 min = 30×60 second = 1800s.

Step 2: Calculation of speed of the minute hand

  1. The length of the minute hand of the clock acts as the radius for the circular path of the clock. So r = 14 cm.
  2. We know that the minute hand completes one full circle in one hour. So for half an hour, the minute hand will cover only the half-circle.
  3. So the distance covered by the minute hand will be,
  4. Distance= circumference2= 2πr2=2×22×147×2= 44cm.
  5. Now the speed of the minute hand will be,
  6. Speed= distancetime= 441800cms-1=11450cms-1.

Hence,

The speed of a minute hand is11450cms-1


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Speed and Velocity
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon