Basic Formulas of Clock
Here are some of the most important formulas for solving clock reasoning problems:
| S.No | To Calculate | Formulas |
|---|---|---|
Total Degrees in a Clock |
In a 12-hour analog clock, there are 360 degrees. In a 24-hour analog clock, there are 720 degrees. |
|
Degrees covered by Hour Hand |
The hour hand covers 30 degrees per hour (360 degrees divided by 12 hours in a 12-hour clock). In a 24-hour clock, it covers 15 degrees per hour. |
|
Degrees covered by Minute Hand |
The minute hand covers 6 degrees per minute (360 degrees divided by 60 minutes). |
|
Degrees covered by Second Hand |
The second hand covers 6 degrees per second (360 degrees divided by 60 seconds). |
|
Angle between Hour and Minute Hands |
The angle formed between the hour and minute hands is given by the formula: Angle = [(11 / 2) M - 30 H] ( where M is the minute value and H is the hour value ) |
|
60-minute space |
360° = 1 hour |
|
1-minute space 5-minute space |
6° x 5 = 30° = 5 minutes |
|
Right Angle or Perpendicular |
15-minute spaces apart |
|
Right Angle or Perpendicular |
22 times in 12 hours or 44 times in 24 hours (1 day) |
|
Speed of minute hand |
6 dpm |
|
Angle of the hour hand from vertical at N o'clock |
30N |
|
Straight Angle or Straight Line or 180° |
30-minute space apart |
|
Straight Angle |
11 times in 12 hours or 22 times in 24 hours (1 day) |
|
Angle traced by minute hand in 60 min. |
360° |
|
Speed of hour hand |
0.5 dpm (degree per minute) |
|
Angle traced by hour hand in 12 hrs |
360° |
|
Angle formula |
θ = (11/2)M - 30 H ( where M is the minute value and H is the hour value ) |
Quick Tip: Do you know? You can learn clock formulas quickly if you first understand the fundamental concepts of clock.
FAQsFAQs
How do you benefit from learning clock formulas?
Learning clock formulas allows you to understand and solve problems related to time in everyday life and in various professional contexts.
For example, understanding how to calculate the angle between the hour and minute hands can help you interpret time in a more visual way.
How to remember clock formulas for a longer time?
Here are some strategies to help remember clock formulas for a longer period:
Regular Practice: Regularly practice with clock-related questions and exercises to familiarize yourself with the applications of the formulas.
Understand the Concept: Deeply understand the underlying principles of the clock concepts. This will provide a meaningful context for your learning, helping you remember the formulas for a longer time.
Use Visual Aids: Create diagrams or use digital platforms to visualize the clock formulas. For example, picturing the movement of the hands on a clock face can reinforce your memory.
Link to Real-Life Applications: Try to connect the formulas to clock real-life applications. This will not only help you remember them, but also understand their importance and utility.
How conceptual understanding of the clock topic helps in remembering its formulas?
A conceptual understanding of the clock topic helps in remembering its formulas by providing a clear understanding of why these formulas work the way they do.
For example, understanding that a full rotation of the minute hand (360 degrees) takes 60 minutes allows you to understand why the minute hand moves at a rate of 6 degrees per minute.
By linking these formulas to their underlying clock concepts, you form a stronger, more meaningful connection that aids in retention.
