a train is moving along a horizontal track. A pendulum suspended from the roof makes an angle 4 degree with the vertical. obtain the acceleration of train?
0.7 m/s2
To obtain the acceleration of the train, we can use the equation for the acceleration of the pendulum.
The equation for the acceleration of a pendulum is given by:
a = (g * sinθ) / L
Where:
a = acceleration of the pendulum
g = acceleration due to gravity (approximately 9.8 m/s²)
θ = angle made by the pendulum with the vertical (4 degrees in this case)
L = length of the pendulum
Since the angle is given in degrees, we need to convert it to radians before using the equation. Note that 1 radian is equal to 180/π degrees.
θ (in radians) = (4 * π) / 180
Substituting the values into the equation:
a = (9.8 * sin((4 * π) / 180)) / L
However, the length of the pendulum (L) is not given in the question. This information is required to calculate the acceleration.
Please provide the length of the pendulum so that we can calculate the acceleration of the train.
weight * tan 4 = m a
m g tan 4 = m a
a = g tan 4