0
Why should the initial angle of displacement for a simple pendulum be small?
Wiki User
∙ 13y ago
This is done in order to get unbalanced force act on the pendulum. A torque will act due to gravitation of the earth and the tension in the string as they then act at different points and opposite direction on the pendulum. Have the forces act at the same point, the formation of torque would have been ruled out and the pendulum would not swing.
Wiki User
∙ 14y ago
Wiki User
∙ 13y agoIf the initial angle of displacement for a simple pendulum is small, the sin(θ) term of the differential equation that describes the pendulum's motion can be approximated as just θ. That turns the solution of the differential equation from being impossible to solve exactly (one needs to approximate with a Taylor series), to possible. It also shows that for small angles, the period of the pendulum is independent of the initial angle, which is generally not the case.
Wiki User
∙ 7y agoIt doesn't have to; however, the most basic calculation for the period of a pendulum is only valid for small angles, precisely because this calculation assumes that the angle is small.At small angles, the sine of the angle is the same as the angle (if the angle is expressed in radians); at larger angles, this approximation becomes more and more inaccurate.
Wiki User
∙ 7y agoThe derivation of the formula, for the period of a simple pendulum, requires that at the angle of the pendulum, x (measured in radians), and sin(x) are the same. This is approximately true only for small values of x.
Add your answer:
Earn +20 pts
How does the period of a pendulum difference theoretically with angular displacement and mass of ball for simple pendulum?
According to the mathematics and physics of the simple pendulum hung on a massless string, neither the mass of the bob nor the angular displacement at the limits of its swing has any influence on the pendulum's period.
What happen to simple pendulum at lowest point of its swing?
At the low point of a swinging pendulum, the type of energy being demonstrated is maximum kinetic energy. It has zero potential energy at this point of the swing.
What happens to the acceleration of a simple pendulum as it approaches the lowest point of its swing?
The velocity reaches a maximum, and the pendulum will begin to decelerate. Because the acceleration is the derivative of the velocity, and the derivative at the location of an extrema is zero, the acceleration goes to zero.
Can the average velocity of a particle be zero but not its average speed?
Yes, since velocity is speed and direction its average can be zero. For example say a plane flies from point A to point B at 300 mph and turns around to go from B to A at 300 mph; its average velocity is 0 since it is in the same spot as it started ( the velocity vectors cancel) but its average speed is 300 mph.
Time measuring devices used in ancient time in different parts of world?
sundial, sand-clock, candle-clock,water-clock and simple pendulum
What are the factor affecting on the simple pendulum?
The factors that affect a simple pendulum are; length; angular displacement; and mass of the bong.
How does the period of a pendulum difference theoretically with angular displacement and mass of ball for simple pendulum?
According to the mathematics and physics of the simple pendulum hung on a massless string, neither the mass of the bob nor the angular displacement at the limits of its swing has any influence on the pendulum's period.
Why time periods is equal of pendulum?
A simple pendulum, ideally consists of a large mass suspended from a fixed point by an inelastic light string. These ensure that the length of the pendulum from the point of suspension to its centre of mass is constant. If the pendulum is given a small initial displacement, it undergoes simple harmonic motion (SHM). Such motion is periodic, that is, the time period for oscillations are the same.
What are the physical parameters in the investigation of a simple pendulum?
The physical parameters of a simple pendulum include (1) the length of the pendulum, (2) the mass of the pendulum bob, (3) the angular displacement through which the pendulum swings, and (4) the period of the pendulum (the time it takes for the pendulum to swing through one complete oscillation).
What are conditions used while calculating time period of simple pendulum?
The time period of a simple pendulum is calculated using the following conditions: Length of the pendulum: The longer the length of the pendulum, the longer it takes for one complete back-and-forth swing. Acceleration due to gravity: The time period is inversely proportional to the square root of the acceleration due to gravity. Higher gravity results in a shorter time period. Angle of displacement: The time period is slightly affected by the initial angle of displacement, but this effect becomes negligible for small angles.
Can an ideal simple pendulum realize?
no we cannot realize an ideal simple pendulum because for this the string should be weightless and inextendible.
Why a compound pendulum is called equivalent simple pendulum?
Compound pendulum is a physical pendulum whereas a simple pendulum is ideal pendulum. The difference is that in simple pendulum centre of mass and centre of oscillation are at the same distance.
Is oscillation of compound pendulum or simple pendulum is perfectly simple harmonic motion?
A simple pendulum exhibits simple harmonic motion
How is the motion of a pendulum like that of a wave?
A simple harmonic motion is one for which the acceleration of the body into consideration is proportional its displacement from the mean position and the direction of the acceleration is always directed towards that mean position. It can be shown that, provided that the amplitude of oscillation is small, the motion of a simple pendulum is simple harmonic. All simple harmonic motions follow one rule F=-kx . When the oscillation is small(around 5 °), the motion of simple pendulum is simple harmonic motion.
What is the maths of period of pendulum?
For small swings, and a simple pendulum:T = 2 pi root(L/g) where T is the time for one period, L is the length of the pendulum, and g is the strength of the gravitational field.
When will the motion of simple pendulum be shm?
The motion of the simple pendulum will be in simple harmonic if it is in oscillation.
What are the basic condition for the system to be called simple pendulum.?
what is the principle behind simple pendulum no because heavy body is suspended with light extensibe string.
