Pinion Pitch Circle Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi)
r = (t*p)/(2*pi)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Pinion Pitch Circle Radius - (Measured in Meter) - Pinion Pitch Circle Radius is the radius of the pinion of the rack and pinion steering system.
Number of Pinion Teeth - Number of Pinion Teeth is the total number of teeth on the pinion of a rack and pinion steering system.
Linear or Circular Pitch - (Measured in Meter) - Linear or Circular Pitch is the distance between the centers of two teeth of a rack.
STEP 1: Convert Input(s) to Base Unit
Number of Pinion Teeth: 6 --> No Conversion Required
Linear or Circular Pitch: 10 Millimeter --> 0.01 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (t*p)/(2*pi) --> (6*0.01)/(2*pi)
Evaluating ... ...
r = 0.00954929658551372
STEP 3: Convert Result to Output's Unit
0.00954929658551372 Meter -->9.54929658551372 Millimeter (Check conversion here)
FINAL ANSWER
9.54929658551372 9.549297 Millimeter <-- Pinion Pitch Circle Radius
(Calculation completed in 00.004 seconds)

Credits

Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
Syed Adnan has created this Calculator and 200+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

6 Steering System Calculators

Understeer Gradient
Go Understeer Gradient = (Load on Front Axle at High Speed Cornering/(Acceleration due to Gravity*Cornering Stiffness of Front Wheels))-(Load on Rear Axle at High Speed Cornering/(Acceleration due to Gravity*Cornering Stiffness of Rear Wheels))
Understeer Increment due to Steering System Compliance
Go Under Steer Increment due to Steering Compliance = (Weight under Front Axle*(Turning Radius of Car*Caster Angle+Pneumatic Trail of Tire))/Effective Stiffness of Steering System
Pinion Pitch Circle Radius
Go Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi)
Steering Ratio
Go Steering Ratio = Steering Wheel Radius/Pinion Pitch Circle Radius
Motion Ratio or Installation Ratio in Suspension
Go Motion Ratio in Suspension = Spring/Shock Travel/Wheel Travel
Torque Acting on Steering Arm
Go Torque = Frictional Force*Scrub Radius

Pinion Pitch Circle Radius Formula

Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi)
r = (t*p)/(2*pi)

What is pinion pitch circle radius?

The Pinion pitch circle radius is defined as the circular radius of the pinion of a rack and pinion steering system. It depends upon the number of pinion teeth on the pinion and the circular pitch of the pinion.

How to Calculate Pinion Pitch Circle Radius?

Pinion Pitch Circle Radius calculator uses Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi) to calculate the Pinion Pitch Circle Radius, The Pinion pitch circle radius formula is defined as the circular radius of the pinion of a rack and pinion steering system. Pinion Pitch Circle Radius is denoted by r symbol.

How to calculate Pinion Pitch Circle Radius using this online calculator? To use this online calculator for Pinion Pitch Circle Radius, enter Number of Pinion Teeth (t) & Linear or Circular Pitch (p) and hit the calculate button. Here is how the Pinion Pitch Circle Radius calculation can be explained with given input values -> 7957.747 = (6*0.01)/(2*pi).

FAQ

What is Pinion Pitch Circle Radius?
The Pinion pitch circle radius formula is defined as the circular radius of the pinion of a rack and pinion steering system and is represented as r = (t*p)/(2*pi) or Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi). Number of Pinion Teeth is the total number of teeth on the pinion of a rack and pinion steering system & Linear or Circular Pitch is the distance between the centers of two teeth of a rack.
How to calculate Pinion Pitch Circle Radius?
The Pinion pitch circle radius formula is defined as the circular radius of the pinion of a rack and pinion steering system is calculated using Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi). To calculate Pinion Pitch Circle Radius, you need Number of Pinion Teeth (t) & Linear or Circular Pitch (p). With our tool, you need to enter the respective value for Number of Pinion Teeth & Linear or Circular Pitch and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!