Why does the length of the period increase as the length of the pendulum increases?
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The period of a pendulum increases as it length increases because the verticle distance the bob travels is less, and thus there is less potential energy available to accelerate the bob in its arc. Also, recall that in vector mechanics the horizontal force vector due to gravity is a function of the direction the object is constrained to follow, and if the pendulum is longer, that direction is more horizontal, giving the horizontal force vector less of an effect.
The period of the pendulum increases, i.e. the pendulum swings fewer times in an hour. The time period of a pendulum is directly proportional to the square root of its length. So, if the length increases, its time period also increase. ie. It takes longer to complete one oscillation T = 2π√(l/g) T = Time period l = length g = acceleration due to gravity
time period of a pendulum is given by;T=22/7(l/g)^1/2 where l is length of a pendulum i.e; time period is directly proprotional to the square root of length. in summer, length of pendulum increases due to increase in temperature and hence time increases & increases in time means the clock runs faster
Yes. You can increase the period by moving the pendulum to a location where the gravitational force is weaker. Alternatively, you can increase the effective length of the pendulum. The pendulum may be of fixed length, but you can still increase its effective length by adding mass to any point below its centre of gravity.
If length of simple pendulem increases constantly during osscillation then what is effct on time period?
If a pendulum is shortened, the frequency will increase. This occurs because as the length of the pendulum decreases, the vertical height of the pendulum will decrease. Therefore, the pendulum does not need to fall as far and this decreases the period, which in turn increases the frequency. THIS IS WRONG my class did this experiment and got totally opposite info, the pendulum returned to its original side more times when the string was longer
Yes, the length of pendulum affects the period. For small swings, the period is approximately 2 pi square-root (L/g), so the period is proportional to the square root of the length. For larger swings, the period increases exponentially as a factor of the swing, but the basic term is the same so, yes, length affects period.
Because the period is based on the length of the pendulum, an increase in temperature (such as that as occurs in summer) will make the material, normally metal, in the pendulum expand - which is why better clocks often had wooden pendulum rods. Since it is longer its period increases and makes the clock run slower than normal. Numerous inventions were developed to counteract this effect, most taking advantage of the properties of thermal expansion…
How many times is the period of the pendulum increased or decreased when its length is increased four times?
The longer the pendulum is, the greater the period of each swing. If you increase the length four times, you will double the period. It is hard to notice, but the period of a pendulum does depend on the angle of oscillation. For small angles, the period is constant and depends only on the length of the pendulum. As the angle of oscillation (amplitude) is increased, additional factors of a Taylor approximation become important. (T=2*pi*sqrt(L/g)[1+theta^2/16+...]…
the time period of a pendulum is proportional to the square root of length.if the length of the pendulum is increased the time period of the pendulum also gets increased. we know the formula for the time period , from there we can prove that the time period of a pendulum is directly proportional to the effective length of the pendulum. T=2 pi (l\g)^1\2 or, T isproportionalto (l/g)^1/2 or, T is proportional to square root…
The period of a pendulum is approximated by the equation T = 2 pi square-root (L / g). Note: This is only an approximation, applicable only for very small angles of swing. At larger angles, a circular error is introduced, but the basic equation still holds true. Looking at that equation, you see that time is proportional to the square root of the length of the pendulum, so to double the period of a pendulum…
For small swings, the period is approximately 2 pi square-root (L/g), so the period is proportional to the square root of the length. For larger swings, the period increases exponentially as a factor of the swing, but the basic term is the same so, therefore length affects period. and in return for this answer..will u date me?