Measurement of Length and Motion – Formula & Equation Sheet
Essential formulas and equations from Curiosity, tailored for Class 6 in Science.
This one-pager compiles key formulas and equations from the Measurement of Length and Motion chapter of Curiosity. Ideal for exam prep, quick reference, and solving time-bound numerical problems accurately.
Key concepts & formulas
Essential formulas, key terms, and important concepts for quick reference and revision.
Formulas
1 km = 1000 m
This formula expresses the conversion of kilometres to metres, essential for understanding larger distances.
1 m = 100 cm
This equation indicates how many centimetres are in one metre, fundamental for smaller length measurements.
1 cm = 10 mm
This formula helps convert centimetres to millimetres, useful for precise measurements.
1 inch = 2.54 cm
This conversion is critical for understanding measurements in inches relative to the metric system.
Length = Number of units × Unit length
This formula allows you to calculate length by multiplying the number of measuring units by the length of each unit, applicable in diverse measuring contexts.
Perimeter of Rectangle = 2(l + w)
Where l is the length and w is the width. This formula is useful in calculating the total distance around rectangular objects.
Area of Rectangle = l × w
Used to find the area of rectangular surfaces, crucial for understanding spaces.
Circumference of Circle = 2πr
Where r is the radius. This formula helps calculate the distance around circular shapes, valuable in many practical applications.
Area of Circle = πr²
Where r is the radius. This expresses the space contained within a circle, important in geometry.
Volume of Cube = a³
Where a is the length of a side. This formula is used to find the space occupied by a cubic object.
Equations
Distance = Speed × Time
This equation relates the three key aspects of motion. It's crucial for solving problems regarding moving objects.
Speed = Distance / Time
Calculating speed can help determine how fast an object is moving based on the distance traveled over time.
Time = Distance / Speed
Rearranging the equation helps to calculate how long it takes to cover a specific distance at a certain speed.
Average Speed = Total Distance / Total Time
This formula calculates the overall speed of an object over a trip, helpful in journey planning.
Displacement = Final Position - Initial Position
Describes the change in position of an object. Useful in understanding motion in physics.
Acceleration = (Final Velocity - Initial Velocity) / Time
This important equation calculates how much an object's speed changes over time, critical in motion analysis.
F = m × a (Newton's Second Law)
Where F is force, m is mass, and a is acceleration. It demonstrates how an object's motion changes based on applied forces.
Weight = mass × gravity (W = mg)
This equation provides the weight of an object based on its mass and gravitational pull, essential in understanding forces.
Pythagorean Theorem: a² + b² = c²
In a right triangle, this formula relates the lengths of the sides to the hypotenuse, useful in coordinate geometry.
Work = Force × Distance
This equation defines work done when a force moves an object over a distance; important in physics.
