Ratio and Proportion
Solve for h:
4:6::h:36
h = 24
What is the taper found on most cutting tool shanks?
The Morse taper.
By definition, what is an acute angle?
An angle that is less than 90 degrees.
If it takes a machinist an 8 hour shift to square up 12 blocks of steel, how many blocks of steel could the machinist square up in 40 hours?
60 blocks of steel.
What is the trigonometric mnemonic?
SOH, CAH, TOA
If a shaft has a taper of 0.600" per foot, how much is the taper at 7"?
0.350"
What is the taper per foot on a standard milling machine taper?
3.5 inches per foot.
How is the Pythagorean theorem commonly written?
a squared + b squared = c squared
What are the names of the trigonometric ratios?
Sine, Cosine, Tangent
What is the small diameter of a taper having a taper ratio of 1:30, a length of 600mm and a large diameter of 35mm?
15mm
A gear with 30 teeth rotating at 375 RPM drives a gear with 78 teeth. What is the speed of the larger gear?
144.23 RPM
What is the large diameter of a taper having a length of 6 inches, a small diameter of 2 inches and a 0.75 inch taper per foot?
2.375 inches
By definition, what is an isosceles triangle?
A triangle with two equal sides and two equal angles.
9 feet to 288 inches.
3:8
To set up a 5" sine bar at 45 degrees, what would your gauge block build up be?
3.5355"
What does the product of the means equal?
The product of the extremes.
What is the length of a taper having a small diameter of 2 inches , a large diameter of 3 inches and a 5/8 inch taper per foot?
19.2 inches.
What is the largest hexagon that can be machined from an 85mm diameter shaft?
73.61mm
What is the sine of 45 degrees?
0.707
What is the angle in degrees, minutes and seconds related to Arc TAN 1.73205?
59 degrees, 59 minutes, 59 seconds
Solve for M in the proportional form M:8::6:24.
M = 2
What is the included angle of a taper having a 3 inch taper per foot?
14 degrees 15 minutes
If a 45-45-90 triangle has one side that measures 10 inches, what is the length of the hypotenuse?
14.142 inches
What is the taper ratio of a taper having a length 400mm, a small diameter of 10mm and a large diameter of 20mm?
1:40
What is COS 5 degrees, 12 minutes, 40 seconds?
0.996