Density pre-lab questions: i need help answering these questions. 1 ) For a sphe

Question

Density pre-lab questions: i need help answering these questions. 1 ) For a spherical object what is its mass in terms of density of the material, its diameter and any necessary constants? 2) In this experiment you will measure the mass and diameter of several clay spheres. How should this data be plotted to obtain a linear graph other than log-log graph? Make a sketch of the graph. Be sure to label both axes. 3) How does the density of the sphere relate the slope of the graph in question 2? 4) You have a set of data that are related y=Cx^(m) where C is a constant. Use log-log graph to determine the power m and the constant C. Show all the work: sketch of a graph; label both axes; write equations that need to be used for m and C calculations.

Explanation / Answer

Density is defined as the ratio of the mass of an object to its volume: density = p mass = m volume = v p = m/v for a spherical object: volume = (4/3)(pi)(r^3) volume = (4/3)(pi)(d^3)/8 volume = (1/6)(pi)(d^3) 1) p = m/v m = p(v) m = p(1/6)(pi)(d^3) 2) since: m = p(1/6)(pi)(d^3) mass should be plotted on the y - axis cube root of d should be plotted on the x - axis by doing so, you get a linear function with a slope defined as: slope = p(1/6)(pi) 3) the density would be equal to: p = 6*slope/pi 4) data is needed to solve this portion

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.