Exam 6: Fundamental Dimensions and Units

Convert the information given in the table below from SI units to USCS: SI Units U.S. Customary Units 2700\nobreakspace / lb \nobreakspace / 500 l 10\nobreakspace1.3 psi 2g /

The amount of time it takes for an object bounce up and down through one complete cycle is called the "period" and is calculated using the following equation: $T = 2 \pi \sqrt { \frac { m } { k } }$ where T= period in seconds m= mass of object in kilograms k= spring rate What is the appropriate unit for $k$ if the preceding equation is to be homogeneous in units?

A motorcyclist's final speed after 2 minutes is 165 miles per hour and the peak power generated was 115 horsepower.Convert all of the values given to SI units.

A "micron" is defined as one-millionth of a meter.The average diameter of a strand of human hair is 60 microns.How many of these hairs, laid sideways next to each other, would it take to cover 3 cm?

What's the difference between weight and mass?

The amount of time it takes for a pendulum to swing "to-and-fro" through one complete cycle is called the "period" and is calculated using the following equation: $T = 2 \pi \sqrt { \frac { L } { g } }$ where T = period in seconds L = length of pendulum g = gravitational acceleration, 9.8/ What is the appropriate unit for L if the preceding equation is to be homogeneous in units?

The fundamental frequency of a vibrating guitar string is modeled by the following equation: $f = \frac { 1 } { 2 L } \sqrt { \frac { T } { \mu } }$ where f= vibration frequency in hertz L= length of string in meters T= string tension in newtons \mu= string density What is the appropriate unit for $\mu$ if the preceding equation is to be homogeneous in units?

When a steel cookie sheet is placed in an oven and heated up, it expands due to the temperature change.The change in area of the cookie sheet is modeled using the following equation: $\Delta _ { A } = A _ { 0 } \gamma \Delta T$ where = change in area in = original area in \gamma= area coefficient of thermal expansion = change in temperature in What is the appropriate unit for $\gamma$ if the preceding equation is to be homogeneous in units?

Convert the information given in the table below from USCS to SI units: U.S. Customary Units SI Units 55mph / and / 120000 W 10 miles and

What is the difference between "dimensions" and "units?"

Is one degree temperature difference in Celsius equal to one temperature difference in Kelvin? Why or why not?

A new record for running the stairs of the Empire State Building was set on February 3,

During this feat, the individual generated an average power of approximately 0.27hp. Express this power in watts.

Calculate the number of liters of water that will fit into an aquarium with dimensions: 0.6 m $\times 1 \mathrm {~m} \times 1.5 \mathrm {~m}$

The ice at a certain hockey rink is made by freezing water that is 40 mm deep.How many gallons of water does it take? Approximate the rink as a 60 m by 25 m rectangle.

The rate at which heat energy is conducted through a wall is modeled by the following equation: $\dot { Q } = k \frac { A } { L } \Delta T$ where $\dot { Q } =$ heat rate in watt $k =$ thermal conductivity of the wall $A =$ area of the wall in $\mathrm { m } ^ { 2 }$ $L =$ wall thickness in $\mathrm { m }$ $\Delta _ { T } =$ steady-state temperature difference between the inside and the outside surfaces of the wall, in ${ } ^ { \circ } \mathrm { C }$ What is the appropriate unit for $k$ if the preceding equation is to be homogeneous in units?

The pressure exerted on an object while submerged in a fluid can be calculated using the following equation: $P = P _ { a t m } + \rho g h$ where P= pressure (Pa) = atmospheric pressure (Pa) \rho= density of fluid g= gravitational acceleration, 9.8/ h= depth of submersion () What is the appropriate unit for $\rho$ if the preceding equation is to be homogeneous in units?

One troy ounce is 20 pennyweights, one pennyweight is 24 grains, and one grain is approximately 65 milligrams.How much is 1000 troy ounces, in SI units?

The calorie is defined as the amount of heat required to raise the temperature of 1 g of water by $1 ^ { \circ } \mathrm { C }$ If a certain home's furnace is rated a $120,000 \mathrm { kcal } / \mathrm { h }$ h, what is this rating in calories per second?