How is speed calculated? multiply velocity by displacement divide velocity by displacement multiply distance by time divide dist
2 answers:
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Answer:
Original length = 2.97 m
Explanation:
Let the original length of the pendulum be 'L' m
Given:
Acceleration due to gravity (g) = 9.8 m/s²
Original time period of the pendulum (T) = 3.45 s
Now, the length is shortened by 1.0 m. So, the new length is 1 m less than the original length.
New length of the pendulum is,
New time period of the pendulum is,
We know that, the time period of a simple pendulum of length 'L' is given as:
-------------- (1)
So, for the new length, the time period is given as:
------------ (2)
Squaring both the equations and then dividing them, we get:
Now, plug in the given values and calculate 'L'. This gives,
Therefore, the original length of the simple pendulum is 2.97 m
Answer:
The magnitude of angular acceleration of the motor is .
Explanation:
Given that,
Initial angular velocity,
Final angular velocity,
Angular displacement,
Let is the magnitude of the angular acceleration of the motor. It can be calculated using third equation of rotational kinematics as :
So, the magnitude of angular acceleration of the motor is .