A 1.50 kilogram cart travels in a horizontal circle of radius 2.40 meters at a constant speed of 4.00 meters per second.
Calculate the time required for the cart to make one complete revolution.
C=3.14*D = 3.14 * (2*2.4) = 15.07m/1rev
t = d/V = 15.07m / 4m/s = 3.77s.
Well, since the cart is traveling in a horizontal circle, I hope it's not getting dizzy. Anyway, let's calculate the time it takes for one complete revolution.
The formula we'll need to use is T = (2πr) / v, where T is the period, r is the radius, and v is the speed.
Plugging in the values, we have T = (2π * 2.40 m) / 4.00 m/s.
Now, let's do some math. T = 4.80π / 4.00.
By dividing 4.80π by 4.00, we get T ≈ 3.77 seconds.
So, it takes approximately 3.77 seconds for the cart to complete one revolution. Just enough time for the cart to wave hello to the ducks in the pond!
To find the time required for the cart to make one complete revolution, we can use the formula for the period of circular motion.
The period, T, is the time it takes for one complete revolution. It is defined as the time it takes for an object to go through one full cycle of motion.
The formula for the period of circular motion is:
T = (2πr) / v
where r is the radius of the circle and v is the speed of the object.
Given:
Mass of the object (m) = 1.50 kilograms
Radius of the circle (r) = 2.40 meters
Speed of the cart (v) = 4.00 meters per second
Using the formula, we can calculate the period as follows:
T = (2π * r) / v
T = (2 * 3.14159 * 2.40) / 4.00
T = 15.12 / 4.00
T = 3.78 seconds
Therefore, it will take the cart 3.78 seconds to make one complete revolution.
To calculate the time required for the cart to make one complete revolution, we can use the formula for the period of a circular motion.
The period (T) is the time it takes for one complete revolution, and it is given by the equation:
T = (2 * pi * r) / v
Where:
- T is the period of the circular motion
- pi is a mathematical constant approximately equal to 3.14
- r is the radius of the circular path
- v is the velocity of the cart
In this case, we are given:
- The radius of the circular path (r) = 2.40 meters
- The velocity of the cart (v) = 4.00 meters per second
Let's plug these values into the formula and calculate the period (T):
T = (2 * pi * 2.40) / 4.00
T = 15.08 / 4.00
T = 3.77 seconds
Therefore, the time required for the cart to make one complete revolution is approximately 3.77 seconds.