Solution Found!
Determining Oil & Ball Bearing Density: Physics Explained
Chapter 1, Problem 1.98(choose chapter or problem)
A graduated cylinder is filled to the 40.00-mL mark with a mineral oil. The masses of the cylinder before and after the addition of the mineral oil are 124.966 g and 159.446 g, respectively. In a separate experiment, a metal ball bearing of mass 18.713 g is placed in the cylinder and the cylinder is again filled to the 40.00-mL mark with the mineral oil. The combined mass of the ball bearing and mineral oil is 50.952 g. Calculate the density and radius of the ball bearing. [The volume of a sphere of radius r is \((4 / 3) \pi r^{3}\).]
Questions & Answers
QUESTION:
A graduated cylinder is filled to the 40.00-mL mark with a mineral oil. The masses of the cylinder before and after the addition of the mineral oil are 124.966 g and 159.446 g, respectively. In a separate experiment, a metal ball bearing of mass 18.713 g is placed in the cylinder and the cylinder is again filled to the 40.00-mL mark with the mineral oil. The combined mass of the ball bearing and mineral oil is 50.952 g. Calculate the density and radius of the ball bearing. [The volume of a sphere of radius r is \((4 / 3) \pi r^{3}\).]
ANSWER:Step 1 of 5
Here, we are going the density and radius of the ball bearing.
Given that,
Mass of the cylinder without oil M = 124.966 g
Mass of the cylinder with oil \(M_{O}=159.446 \mathrm{~g}\)
Therefore,
Mass of the Oil \(=\left(M_{O}-M\right)=(59.446-124.966) \mathrm{g}=34.480 \mathrm{~g}\)
Thus,
Density of the oil = Mass/Volume
= (34.480 g/40.00 mL)
= 0.8620 g/mL
Final density of the oil is found as 0.8620 g/mL
Watch The Answer!
Determining Oil & Ball Bearing Density: Physics Explained
Want To Learn More? To watch the entire video and ALL of the videos in the series:
Discover how to determine the density of mineral oil and a metal ball bearing using a graduated cylinder. Learn the method of calculating the mass difference and volume to deduce the density and radius of the ball. Watch a detailed physics experiment explained step by step.