The speed (magnitude of the velocity) of a pendulum is greatest when it is at the lowest part of it's swing, directly underneath the suspension.
The factors that affect the period of a pendulum (the time it takes to swing from one side to the other and back again) are:
# Gravity (the magnitude of the force(s) acting on the pendulum)
# Length of the pendulum # (+ minor contributions from the friction of the suspension and air resistance)
If the length of a pendulum is increased, the period of the pendulum also increases. This relationship is described by the equation for the period of a pendulum, which is directly proportional to the square root of the length of the pendulum. This means that as the length increases, the period also increases.
The period of a pendulum is directly proportional to the square root of its length. As the length of a pendulum increases, its period increases. Conversely, if the length of a pendulum decreases, its period decreases.
The period of a pendulum is directly proportional to the square root of its length. This means that as the pendulum length increases, the period also increases. This relationship is described by the formula T = 2π √(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
If the length of a simple pendulum increases constantly during oscillation, the time period of the pendulum will also increase. This is because the time period of a simple pendulum is directly proportional to the square root of its length. Therefore, as the length increases, the time period will also increase.
Thermal expansion can affect the length of the pendulum, which can alter its period. As the pendulum lengthens due to thermal expansion, its period will slightly increase. Conversely, if the pendulum shortens due to thermal contraction, its period will slightly decrease.
If the length of a pendulum is increased, the period of the pendulum also increases. This relationship is described by the equation for the period of a pendulum, which is directly proportional to the square root of the length of the pendulum. This means that as the length increases, the period also increases.
The period of a pendulum is directly proportional to the square root of its length. As the length of a pendulum increases, its period increases. Conversely, if the length of a pendulum decreases, its period decreases.
The period of a pendulum is directly proportional to the square root of its length. This means that as the pendulum length increases, the period also increases. This relationship is described by the formula T = 2π √(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
The period increases as the square root of the length.
If the length of a simple pendulum increases constantly during oscillation, the time period of the pendulum will also increase. This is because the time period of a simple pendulum is directly proportional to the square root of its length. Therefore, as the length increases, the time period will also increase.
The period increases - by a factor of sqrt(2).
The period is proportional to the square root of the length so if you quadruple the length, the period will double.
Thermal expansion can affect the length of the pendulum, which can alter its period. As the pendulum lengthens due to thermal expansion, its period will slightly increase. Conversely, if the pendulum shortens due to thermal contraction, its period will slightly decrease.
Making the length of the pendulum longer. Also, reducing gravitation (that is, using the pendulum on a low-gravity world would also increase the period).
Period of pendulum depends only on its length that too directly and acceleration due to gravity at that place, but inversely But it is independent of the mass of the bob So as length increases its period increases.
The period of a pendulum is given by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity. If the length is doubled, the new period would be T' = 2π√(2L/g), which simplifies to T' = √2 * T. So, doubling the length of the pendulum increases the period by a factor of √2.
If this is a homework assignment, please consider trying to answer it yourself first, otherwise the value of the reinforcement of the lesson offered by the assignment will be lost on you.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.