The formula to calculate the centripetal velocity (Vc) is:
\[ Vc = \frac{D}{r \cdot t} \]
Where:
Let's say the distance traveled (D) is 100 meters, the radius (r) is 10 meters, and the time (t) is 5 seconds. Using the formula:
\[ Vc = \frac{100}{10 \cdot 5} \]
We get:
\[ Vc = 2 \, \text{rad/s} \]
So, the centripetal velocity is 2 rad/s.
Definition: Calculate the velocity of an object moving in a circular path.
Formula: \( v = \sqrt{\frac{F_c \times r}{m}} \)
Example: \( v = \sqrt{\frac{50 \times 2}{5}} \)
Definition: Calculate the velocity from centripetal force.
Formula: \( v = \sqrt{\frac{F_c \times r}{m}} \)
Example: \( v = \sqrt{\frac{100 \times 3}{10}} \)
Definition: Calculate the centripetal acceleration of an object moving in a circular path.
Formula: \( a_c = \frac{v^2}{r} \)
Example: \( a_c = \frac{20^2}{4} \)
Definition: Calculate the centripetal force using angular velocity.
Formula: \( F_c = m \times \omega^2 \times r \)
Example: \( F_c = 5 \times 4^2 \times 2 \)
Definition: Calculate the centripetal force using angular velocity.
Formula: \( F_c = m \times \omega^2 \times r \)
Example: \( F_c = 10 \times 3^2 \times 1.5 \)
