An object weighing 14N is swung at the end of the cord 0.80m long.the object makes 2.0 revolution per second.what is the centripetal force of the moving object
To calculate the centripetal force of a moving object, we can use the formula:
F = (m * v^2) / r
Where:
F is the centripetal force
m is the mass of the object
v is the velocity of the object
r is the radius of the circular path
In this case, we are given the weight of the object (14N). However, weight is actually the force exerted by gravity on an object due to its mass (W = m * g).
To find the mass of the object, we can divide the weight by the acceleration due to gravity (g). Assuming a standard value of 9.8 m/s^2 for acceleration due to gravity, we can calculate the mass:
m = W / g = 14N / 9.8 m/s^2
Next, we need to calculate the velocity of the object. Since we are given the number of revolutions per second, we can convert that to radians per second. One revolution is equal to 2π radians. So, the angular velocity (ω) is:
ω = 2π * (2.0 revolutions/second)
Now, we can calculate the velocity (v) using the formula:
v = r * ω
where r is the radius of the circular path (0.80m) and ω is the angular velocity.
Finally, we can substitute the values of mass (m), velocity (v), and radius (r) into the formula for centripetal force to find the answer.