So was I right. I searched for it over internet which says about using tan instead of sin but it seemed unreasonable to meBystander said:See, you're understanding vectors, and which components mean what.
My bad. What you found about tan is correct. The gravitational force is perpendicular to the train's acceleration. The force acting on the pendulum mass is the vector sum of the gravitational force and the train's acceleration.shayan haider said:using tan instead of sin
What did you mean by that. I want to learn which is correct gsintheta or gtantheta.Bystander said:My bad. What you found about tan is correct. The gravitational force is perpendicular to the train's acceleration. The force acting on the pendulum mass is the vector sum of the gravitational force and the train's acceleration.
Mea culpa.
The vector triangle to be examined has three sides: 1) the hypotenuse, which is the resultant of gravitational force on the pendulum, and the train's acceleration (pulling the mass toward rear of train); 2) the vertical leg, which is mg of the pendulum; and 3) the horizontal leg, which is atrainm. The relationship between the two legs of the triangle is "opposite" (horizontal) over "adjacent" (vertical), or tangent, since the angle of the resultant is measured from the vertical.shayan haider said:gtantheta.
Oh sorry, I have got your point. You are right. Thanks for correction.Bystander said:The vector triangle to be examined has three sides: 1) the hypotenuse, which is the resultant of gravitational force on the pendulum, and the train's acceleration (pulling the mass toward rear of train); 2) the vertical leg, which is mg of the pendulum; and 3) the horizontal leg, which is atrainm. The relationship between the two legs of the triangle is "opposite" (horizontal) over "adjacent" (vertical), or tangent, since the angle of the resultant is measured from the vertical.
I mistook that first. g is not the resultant. It is component.Bystander said:The vector triangle to be examined has three sides: 1) the hypotenuse, which is the resultant of gravitational force on the pendulum, and the train's acceleration (pulling the mass toward rear of train); 2) the vertical leg, which is mg of the pendulum; and 3) the horizontal leg, which is atrainm. The relationship between the two legs of the triangle is "opposite" (horizontal) over "adjacent" (vertical), or tangent, since the angle of the resultant is measured from the vertical.
You and me both, but it's straightened out now.shayan haider said:I mistook that first. g is not the resultant. It is component.
A pendulum is a simple device that consists of a weight suspended from a string or rod. When a car is in motion, the weight of the pendulum will be affected by the acceleration of the car. The greater the acceleration, the more the pendulum will swing. By measuring the length of the pendulum's swing, we can calculate the acceleration of the car.
To measure the acceleration of a car using a pendulum, you will need a stopwatch or timer, a pendulum (with a weight and string or rod), a ruler or measuring tape, and a car with a flat and smooth road surface to drive on.
A pendulum can provide a fairly accurate measurement of acceleration, as long as proper procedures and measurements are taken. The accuracy can be affected by factors such as wind resistance, friction, and the length of the pendulum. It is important to repeat the experiment several times and take an average to improve the accuracy of the measurement.
Yes, a pendulum can measure acceleration in any direction as long as it is set up and aligned properly. The length of the pendulum will determine the sensitivity to acceleration, so it may need to be adjusted for different directions or magnitudes of acceleration.
The acceleration of a car is calculated using the formula a = 4π²L/T², where a is the acceleration, L is the length of the pendulum, and T is the time it takes for the pendulum to complete one swing. By measuring the length of the pendulum and recording the time it takes for a certain number of swings, we can calculate the acceleration of the car.