A gear wheel having 84 teeth is in mesh with a 24-tooth gear. Determine the gear ratio in its simplest form.a.7:2 b 2:5 C. 5:7 D 2:3
Question
A gear wheel having 84 teeth is in mesh with a 24-tooth gear. Determine the gear ratio in its simplest form.a.7:2 b 2:5 C. 5:7 D 2:3
Solution
The gear ratio is determined by dividing the number of teeth on the larger gear by the number of teeth on the smaller gear.
Step 1: Identify the number of teeth on each gear. In this case, the larger gear has 84 teeth and the smaller gear has 24 teeth.
Step 2: Divide the number of teeth on the larger gear by the number of teeth on the smaller gear.
84 ÷ 24 = 3.5
However, gear ratios are typically expressed as whole numbers. To convert this decimal to a fraction, we can think of 3.5 as 3 1/2, which simplifies to 7/2 when expressed as an improper fraction.
So, the gear ratio in its simplest form is 7:2. Therefore, the correct answer is a. 7:2.
Similar Questions
If a drive gear has 10 teeth and the driven has 40 teeth. What is the ratio
Explain how the gear ratio relates to the number of teeth of the driving and driven gears.
A,B,C,D has 45,27,78,20 teeth respectively and the gears A and B are connected in the same shaft gear C has 100rpm, Calculate the rpm of gear D
26. The front and rear wheels of a tractor have diameters in the proportion of 1:2. What will be the speed of the front wheel, if the rear wheel moves at 40 km/hour on the road
In one particular model of this bicycle, the diameter of the front wheel is 8/3 times the diameter of the rear wheel.9)For this model of bicycle, the ratio of the radius of the rear wheel to the radius of the front wheel is ___*1 point8:33:816:33:1610) When the bicycle travels 264 m, the rear wheel rotates 200 times. How many times does the front wheel rotate when the bicycle travels 264 m?*1 point7515020030011) Using the information in Question 2, calculate the diameter (in cm) of the front wheel of the bicycle. [Take π =22/7 ]*1 point5.6cm1.12cm56 cm112cm12) If there are 60 spokes in the front wheel of the bicycle. The angle between two consecutive spokes will be ___________*1 point1060636
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.