I‘m not getting what types of formulas to use for these questions, please post formulas and show work if you provide answer or you can just explain the formula I need to use. Thanks!1. A bicycle with a 28-inch wheel (diameter) travels a distance of 800 feet. How many revolutions does the wheel make (to the nearest revolution)?a. 212 revolutionsb. 103 revolutionsc. 218 revolutionsd. 109 revolutions2. A wheel with a 20-inch radius is marked at two points on the rim. The distance between the marks along the wheel is found to be 3 inches. What is the angle (to the nearest tenth of a degree) between the radii to the two marks?a. 4.6°b. 10.6°c. 6.6°d. 8.6°
Wheel bearings might be the cause of the noise. Re-pack them if so. Also check the rotor for warpedge.
For both problems, you need to first find the circumference of the circle. The first problem, just divide the distance by the total circumference. This gives the number of revolutions. C πd ≈ (3.1416)(28) 87.96 inches 7.33 feet. Revolutions distance/circumference 800/7.33 ≈ 109. For the second, divide the distance between marks (the arc length) by the circumference. This gives the portion of the total circle. Multiply by 360 to get the angle in degrees. C 2πr ≈ 2(3.1416)(20) 125.7 inches. Angle 360 x arc length / circumference (360)(3)/125.7 8.6°.
1) To get the circumference of the wheel, use the formula Cd*3.14 (pi) where d is the diameter and C is the circumference. You get 87.92. Next, convert 800 ft into inches by multiplying 800 by 12. You get 9600. Finally, divide 9600 by 87.92 to get the total number of revolutions. The answer is d. 109 revolutions. 2) You will need to use trig functions to get this answer. First, your isosceles triangle will need to be bisected from the angle you are trying to calculate to the center of the 3 side. You now have two equal right triangles. Using the tangent formula of tan(angle) opposite side / adjacent side, you get tan(angle) 1.5 / 20 or 0.075. (1.5 is the 3 side bisected in two equal parts.) Use your calculator to get the inverse tangent of 0.075 then multiply that by 2 (remember you bisected that angle to get to right triangles.) Your answer to the nearest whole degree should be 9°.
1) The distance a wheel travels in one revolution is the distance around the wheel - otherwise known as circumference. Circumference (diameter)*(Pi) So. 28-inch wheel means diameter 28 So, the distance the wheel covers in one revolution is C 28pi inches Total distance covered: 800 feet 800*12 9600 inches. (total distance covered) / (distance covered in one rev) number of revolutions 9600 / 28pi 9600 / 87.9645943 109.134818 revolutions 109 revolutions (rounded) ************** 2) diameter 2 * radius diameter of wheel 2 * 20 40 inches Find the total circumference of the wheel: C 40pi 125.6637061 inches (partial circum) / (total circum) (angle) / 360 (It's angle/360 because there are 360 degrees in a whole circle.) so. 3 / 40pi x / 360 0.0238732741 x / 360 360(0.0238732741) x 8.594366927 x 8.6 x (rounded)
What ever is dragging will get hot real fast. After a short ride feel of the parts.
