Last updated on August 5th, 2025
In physics, the concept of time is crucial for understanding motion, dynamics, and various other phenomena. The basic formula for time is derived from the relationship between distance, speed, and time. In this topic, we will learn the formula for calculating time in different contexts.
Time can be calculated using different formulas depending on the context. Let’s learn the basic formula to calculate time.
Time is calculated using the formula: Time = Distance / Speed
This formula applies when you know the distance traveled and the speed at which the object is moving.
In uniform circular motion, the time taken for one complete revolution is given by:
Time = Circumference / Speed Where the circumference is 2πr, with r being the radius of the circle.
The time taken for an object in free fall can be calculated using:
Time = √(2 * Height / g) Where g is the acceleration due to gravity (approximately 9.8 m/s²).
In physics and real life, time formulas are essential to analyze and understand motion and events.
Here are some important aspects of time formulas:
Students often find physics formulas tricky and confusing.
Here are some tips and tricks to master time formulas:
Students make errors when calculating time. Here are some mistakes and the ways to avoid them.
A car travels 150 km at a speed of 75 km/h. How long does it take to travel this distance?
The time is 2 hours.
To find the time, use the formula:
Time = Distance / Speed
Here, Distance = 150 km and Speed = 75 km/h
So, Time = 150 / 75 = 2 hours.
A cyclist covers a circular track with a radius of 50 meters at a speed of 10 m/s. What is the time taken for one complete revolution?
The time is 31.42 seconds.
First, find the circumference:
Circumference = 2πr = 2 * π * 50 = 314.2 meters
Then, use the formula:
Time = Circumference / Speed
Time = 314.2 / 10 = 31.42 seconds.
An object is dropped from a height of 45 meters. How long does it take to reach the ground?
The time is 3.03 seconds.
To find the time, use the formula:
Time = √(2 * Height / g)
Here, Height = 45 meters and g = 9.8 m/s²
Time = √(2 * 45 / 9.8)
= 3.03 seconds.
A runner completes a 400-meter track at a speed of 8 m/s. How much time does the runner take to complete the track?
The time is 50 seconds.
To find the time, use the formula:
Time = Distance / Speed
Here, Distance = 400 meters and Speed = 8 m/s
So, Time = 400 / 8 = 50 seconds.
A stone is thrown vertically upward with an initial speed of 20 m/s. How long will it take to return to the thrower's hand?
The time is 4.08 seconds.
The time to reach the highest point is:
Time = Initial Speed / g = 20 / 9.8 = 2.04 seconds
The total time to return is twice the time to reach the top:
Total Time = 2 * 2.04 = 4.08 seconds.
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
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