One end of a wire is attached to a ceiling, and a solid brass ball is tied to the lower end. The tension in the wire is 160 N. What is the radius of the brass ball?
Well, the tension is from the brass ball, and you are given the weight as 160N.
Weight=densitybrass*g*(volume)
Figure volume, you will have to look up the density of brass. Then from the volume, you can determine the radius (volume= 4/3 PI r^3)
24 kobe
Well, I'm not the brightest clown in the circus, but I can definitely help you out here!
To find the radius of the brass ball, we first need to determine its volume. The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius.
But hang tight, I need some information from you. Do you happen to know the density of the brass ball?
To find the radius of the brass ball, we can use the formula:
Weight = density * gravity * volume
We are given the weight as 160 N, and we need to determine the volume in order to find the radius.
First, we need to find the density of brass. The density of brass varies depending on the specific type, but a common value is around 8,400 kg/m^3.
Next, we can rearrange the formula to solve for the volume:
Volume = Weight / (density * gravity)
Substituting the given values, we get:
Volume = 160 N / (8,400 kg/m^3 * 9.8 m/s^2)
Simplifying, we get:
Volume = 0.00188 m^3
Now we can use the formula for the volume of a sphere to find the radius:
Volume = (4/3) * π * radius^3
Rearranging the formula to solve for the radius:
radius = (3 * Volume / (4 * π))^(1/3)
Substituting the volume we calculated earlier, we get:
radius = (3 * 0.00188 m^3 / (4 * π))^(1/3)
Simplifying, we get:
radius ≈ 0.0224 m
Therefore, the radius of the brass ball is approximately 0.0224 meters.
To find the radius of the brass ball, you need to use the weight and the density of brass.
First, let's calculate the volume of the brass ball using the weight and the density formula:
Weight = density_brass * g * volume
Here, 'density_brass' represents the density of brass, and 'g' represents the acceleration due to gravity (approximately 9.8 m/s^2).
Since the weight is given as 160 N, the equation becomes:
160 N = density_brass * 9.8 m/s^2 * volume
Now, let's rearrange the equation to solve for the volume of the brass ball:
Volume = 160 N / (density_brass * 9.8 m/s^2)
To calculate the volume of a sphere, we need to use the formula:
Volume = (4/3) * π * radius^3
Rearranging this formula, we can solve for the radius:
radius = (3 * Volume / (4 * π))^(1/3)
To find the radius, you will need to look up the density of brass. Once you have it, substitute it into the equation and calculate the volume. Then, input the volume into the radius equation to obtain the radius of the brass ball.