pendulum length (L)=1.8081061073513foot
pendulum length (L)=0.55111074152067meter
Suppose the distance from the light to the man at time t is x(t), and that the length of his shadow is s(t).By similar triangles, (x + s)/s = 15/6 = 5/2That is, x/s + 1 = 5/2 so that x/s = 3/2and therefore, s = 2x/3Then since dx/dt = 5 feet/sec, ds/dt = 2/3*5 ft/sec = 10/3 ft/sec or 3.33... (recurring) ft/sec
f(t)dt and when f(t)=1=1/s or f(t)=k=k/s. finaly can be solve:Laplace transform t domain and s domain L.
using Laplace transform, we have: sY(s) = Y(s) + 1/(s2) ---> (s-1)Y(s) = 1/(s2), and Y(s) = 1/[(s2)(s-1)]From the Laplace table, this is ex - x -1, which satisfies the original differential eq.derivative of [ex - x -1] = ex -1; so, ex - 1 = ex - x - 1 + xto account for initial conditions, we need to multiply the ex term by a constant CSo y = C*ex - x - 1, and y' = C*ex - 1, with the constant C, to be determined from the initial conditions.
two real
The term with the highest power(s) of the unknown variable(s) is 7x2. The power is 2 so the expression is a binomial.
The pendulum's length is 0.36 meters or 1.18 feet.
The pendulum has an arm length of 0.06 meters or 2.36 inches.
9.5 inches
Assuming the pendulum referred to s asimple pendulum of an arm and a weight the major factors on the period are the local attraction of gravity and the length of the arm.
This pendulum has a length of 0.45 meters. On the surface of the moon, its period would be 3.31 seconds where g = 1.62m/s^2
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)
To predict the period of a pendulum, we can use the equation T = 2Ļā(L/g), where T is the period, L is the length of the string, and g is the acceleration due to gravity. Plugging in L = 24cm (or 0.24m) and g = 9.8 m/sĀ², we can calculate the period using this equation.
Well compare a pendulum with swing. If the swing length is short, you will quickly return back to your middle position. Similarly in a pendulum if you have a long string, the time take to complete one swing will be more. This means Time period is directly proportional to the increase in length . But by various experiments, they have found that T Is proportional to sq root of length. T = 2pi sq root of (length /g) If you wish to clarify physics doubts, please subscribe to my handle @Raj-bi7xp
equation for time in pendulum: t = 2 * pi * ( sq. root (l / g)) key: t = time elapsed ( total, back and forth ) l = length , from pivot to centre of gravity g = acceleration due to gravity say 1 metre length pendulum on earth @ 9.82 (m/s)/s, t = 2.005 seconds same pendulum on neptune @ 11.23 (m/s)/s, t = 1.875 seconds
The period of the pendulum is dependent on the length of the pendulum to the center of mass, and independent from the actual mass.The weight, or mass of the pendulum is only related to momentum, but not speed.Ignoring wind resistance, the speed of the fall of objects is dependent on the acceleration factor due to gravity, 9.8 m/s/s which is independent of the actual weight of the objects.
Yes. Period proportional to (Length)-2 is the fundamental property of the pendulum. The formula for the Period (1 complete swing), T, for a pendulum of length L is: T = 2*pi sqrt (L/g) (Oh for a library of symbols to avoid computer-code abbreviations!) T is in seconds, L in metres, g, the acceleration due to gravity, = 9.8m/s2 So for a given length, it is easy to work out the number of complete swings in 1 minute.
Time period and length of a pendulum are related by: T = 2(pi)(L).5(g).5 so putting in the values and solving for g yields a result of : g = 9.70 ms-2