1) A sphere has a radius 1.500m Find its volume in cm^3. Find its suface area in m^2 and in mm^2?

2) A truncated right circular cone has dimensions:
upper base diameter =1.50cm
lower base diameter = 4.00cm
height = 6.00cm
Find its volume in cm^3, m^3, mm^3

3) a person walks 5km in 1,5hr. What is the speed in mi/hr, m/s, and ft/s?

4) A car can accelerate from rest to 60 mi/hr in 7 s. Express this acceleration in the following units(assume constant acceleration)
ft/s^2
km/hr/s
m/s^2

5)A turntable accelerates from rest to 33 rpm in 0.6s. Express this acceleration in rev/s^2 and rad/s^2.

6)A spbway train starts from rest at a station, accelerates uniformly at a rate of 2.0 m/s^2 for 15 s, cruises at constant speed fro 30 s, and then decelerates uniformly coming to rest at the next station after a total trip time of 54 s. How far apart are the stations? Express your answers in m, km and miles.

7)An electrically powered grindstone wheel rotates at 2,000 rpm for 50 s and the power is then switched off. The wheel comes to rest 40.0 s later. Calculate: The angular deceleration in rad/s ^2 and rev/min/s.
Determine the total angular distance traveled over the 90 s time interval, expressed in both radians and revolutions?

Solution Preview

1) A sphere has a radius 1.500m Find its volume in cm^3. Find its surface area in m^2 and in mm^2?

r= 1.5 metres
= 150 cm
= 1500 mm
Volume=(4/3)pi r 3= 14137167 cm3
Surface area=4pi r 2= 28.2743 m2
= 28274333.88 mm2

2) A truncated right circular cone has dimensions:
upper base diameter =1.50cm
lower base diameter = 4.00cm
height = 6.00cm
Find its volume in cm^3, m^3, mm^3

To find the volume of the truncated cone
Volume=(1/3)pi r1 2 (h1+h2)-(1/3)pi r2 2 h2=

r1= lower base radius 2 cm
or 0.02 m
or 20 mm

r2= upper base radius 0.75 cm
or 0.0075 m
or 7.5 mm

h1= height of truncated cone 6 cm
or 0.06 m
or 60 mm

h2= height by which the cone has been truncated

h2/(h1+h2)=r2/r1
or h2/(6+h2)=0.75/2= 0.375
or h2= 3.6 cm
or 0.036 m
or 36 mm

Putting these values into the equation
Volume= 38.09181092 cm3
0.000038092 m3
38091.81 mm2

Velocity-acceleration
3) a person walks 5km in 1.5hr. What is the speed in mi/hr, m/s, and ft/s?

1 ...

Solution Summary

Expresses physical quantities in different units of measurement are examined. A truncated right circular cone has dimensions are provided.

You are a consultant who specializes in productivity measurement. Company BBB has hired you to determine which productivity measurement should be used in its organization. The company describes itself as an automotive supplier that has been in business for more than 20 years. Managers are seeking your guidance to determine which

Why do we measure perimeter in ft, area in ft^2 (or feet squared), and volume in ft^3 (or feet cubed)? What does each mean within the strand of measurement? Why do you think so many students label their measurements with the incorrect exponent?

7.2 p 50. What units in the metric system would you use to measure each of the following quantities?
(a) Distance from Los Angeles to New York
(b) Your waist measurement
(c) Width of a hair
(d) Your height
7.3 p70. Science and medicine. The United States emitted 19.5 million t of nitrogen oxides (NO) into the atmo

Evaluate the following statement:
The overarching purpose of a measurement system should be to help a team, rather than senior managers, gauge its progress. A team's measurement system should primarily be a tool for telling the team when it must take corrective action.

A. What is the role of metrics and measurement in the strategy process?
B. Why are they so important to the strategy process?
C. What are the possible outcomes for a company that decides not to put metrics and measurement into its strategic plan?

Summary
If George spends $5 (total) a week on good X and good Y, and if the price of each good is $1 per unit, then how many units of each good does he purchase to maximize utility?
To maximize the utility, George has to spend all his money buying one type of good. Either he buys 5 units of good X or 5 units of good Y.
Qu

How would you incorporate the use of standard units, the use of tools to measure, the importance of precision and accuracy, estimation and the use of manipulatives and other visual aides to a group of third graders to make them understand the common concept behind measurements regardless of what is being measured? Why is it impo

Control factor unit used in the work measurement study was hundreds of pounds of equipment unloaded or loaded at the dock.
Month Units of Activities Material handling cost $
January 1400 11350
February 1200 11350
March 1100 11050
April