The speed of the flying pig can be calculated using the equation for centripetal force. By equating the weight of the pig to the centripetal force, we can solve for the velocity. The speed is approximately 4.43 m/s.
To find the speed at which the flying pig is moving, we can use the equation for the centripetal force:
Fc = m x v₂ / r
where Fc is the centripetal force, m is the mass of the pig, v is the velocity, and r is the radius of the circular motion. In this case, the radius is the length of the rope, which is 1.50 meters. We also know the mass of the pig, which is 388 grams. So, let's convert the mass to kilograms and plug in the values:
Fc = (0.388 kg) x v₂ / 1.50 m
Now, we need to determine the centripetal force. In this case, the centripetal force is the weight of the pig, which can be calculated using the formula:
Fw = m x g
where Fw is the weight of the pig, m is the mass of the pig, and g is the acceleration due to gravity. The weight of the pig is equal to the centripetal force, so:
Fw = Fc
Plugging in the values, we have:
(0.388 kg) x g = (0.388 kg) x v₂ / 1.50 m
Simplifying the equation, we can solve for v:
v = √(g x r) / 1.50)
The value of g, the acceleration due to gravity, is approximately 9.8 m/s². Plugging in the values, we can calculate the speed at which the pig is moving:
v = √(9.8 m/s² x 1.50 m) / 1.50)
v ≈ 4.43 m/s