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Consider a physical pendulum with length of 94.7 cm and mass of 166 g. if the pendulum was released from an angle less than 10o, then calculate the angular speed of the pendulum. (g = 9.80 m/s2)

Sagot :

Angular velocity of pendulum is 3.216 rad/s.

What is angular velocity?

In physics, the rotational velocity ( or ), also referred to as the angular frequency vector, is a pseudovector representation of how quickly an object's angular position or orientation varies over time (i.e. how quickly an object rotates or revolves relative to a point or axis). The pseudovector's direction is normal to the instantaneous plane of rotation or angular displacement, and its magnitude equals the rate at which the object is rotating or revolving. Traditionally, the right-hand rule is used to specify the direction of angular motion.

Orbital and spin angular velocities are the two forms of angular velocities.

For a small angle angular velocity of the pendulum is calculated as:

ω[tex]= \sqrt{\frac{g}{l} }[/tex]

Here, g= gravity acceleration and l = pendulum's length.

Conversation of unit of length are,

l=94.7 cm = 94.7 cm * ([tex]\frac{10^{-2}m}{1cm}[/tex]) = 0.947 m

Substitute l = 0.947 m and g = 9.80 [tex]m/s^2[/tex] in the expression ω[tex]= \sqrt{\frac{g}{l} }[/tex]

ω[tex]= \sqrt{\frac{9.80m/s^2}{0.947m} } = 3.216[/tex]

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