Do a line integral.
Because calculus applications are almost infinite. In fact, every branch of science uses calculus : physics, chemistry, biology, social studies, economics, etc. Calculus is a universal language that can be used to answer bunches of questions. Using calculus, you can solve various problems including the acceleration of planets in orbit, the kinetic energy of a car in motion, the equivalence point of a chemical reaction, the maximal profit a business can make, the lenght of any curved figure or the area and volume of eccentrical shapes, the electric field produced by a charged object, ... Calculus is interesting because you can use it everywhere!
Calculus is interesting because it is incredible that human intelligence has discovered a way to solve a problem using a formula that can be repeated. Calculus is not necessarily about the numbers, but about the fact that we can apply rules and theories to numbers in a variety of situations.
You can find LOTS of problems, often with solution, by a simple Google search, for example, for "calculus problems". Here is the first hit I got:https://www.math.ucdavis.edu/~kouba/ProblemsList.html
Calculus in itself is not hard, it is usually remembering the algebra and previous math classes that is hard. New concepts are introduced in Calculus, but isn't it the same with any new subject? For example, many problems in integration, the actual calculus is not the hard part, it is using all of the algebra and other concepts you have used your whole life to simplify the problem so it is easy to solve.
One can measure the instantaneous velocity of an object by calculating the rate of change of its position at a specific moment in time. This can be done using calculus by finding the derivative of the object's position function with respect to time.
You could align the edge of the object with the zero on the ruler and then read off the marking on the ruler which aligned with the other end of the object.
When you measure an object's temperature, you are measuring the average kinetic energy of the molecules in the object. This is typically done using a thermometer to quantify how hot or cold the object is.
[object Object]
To measure the size of a microscopic object using a micrometer, you can place the object on a glass slide under a microscope and use the micrometer on the microscope to measure its dimensions in micrometers. Alternatively, you can use image analysis software to measure the object's size based on images taken with a microscope.
Mass can be measured by using a triple beam balance, in grams. Or, simply weigh your desired object and do the necessary conversion.
Wrap the strip of paper around the plate or can and mark it where it completes a full circle around the object. Then lay the strip on a flat surface and measure the marked length using the ruler. That length is the perimeter (circumference) of the round object.
In order to solve problems using Calculus, you have to know Calculus.
Measure the mass of the object using a scale. Measure the volume of the object using displacement method or formulas for regular shapes. Divide the mass by the volume to calculate the density of the object.
Shafts & the members of trusses....
we can Measure volume
The two ways to measure the density of an object are by using its mass and volume. You can calculate density by dividing the object's mass by its volume, or by measuring the displacement of water when the object is submerged in it.