Question

Problem 3) A cast iron gear has the below parameters. Estimate the gear as a ring with the outside diameter equal to the base diameter. Predict the angular velocity, in RPM, at which the gear will fail due to breaking. Inner radius, a = .225 m Base radius, c = .300m Depth = 0.150m Density, $\rho$ = 7200 kg/m³ Modulus of elasticity, E = 148 GPa Poisson's ratio, n = 0.25 Ultimate strength, $S_{ut}$ = 428 MPa

          Problem 3) A cast iron gear has the below parameters. Estimate the gear as a ring with the outside diameter equal to the base diameter. Predict the angular velocity, in RPM, at which the gear will fail due to breaking.
Inner radius, a = .225 m
Base radius, c = .300m
Depth = 0.150m
Density, $\rho$ = 7200 kg/m³
Modulus of elasticity, E = 148 GPa
Poisson's ratio, n = 0.25
Ultimate strength, $S_{ut}$ = 428 MPa

Problem 3) A cast iron gear has the below parameters. Estimate the gear as a ring with the outside diameter equal to the base diameter. Predict the angular velocity, in RPM, at which the gear will fail due to breaking.
Inner radius, a = .225 m
Base radius, c = .300m
Depth = 0.150m
Density, ρ = 7200 kg/m³
Modulus of elasticity, E = 148 GPa
Poisson's ratio, n = 0.25
Ultimate strength, Sut = 428 MPa

Added by Robert C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

05/30/2023

Step 1

Outside diameter, D = 2 * base radius, c D = 2 * 0.300 m D = 0.600 m Show more…

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Please show step by step Problem 3 A cast iron gear has the below parameters. Estimate the gear as a ring with the outside diameter equal to the base diameter. Predict the angular velocity, in RPM, at which the gear will fail due to breaking. Inner radius, a =.225 m Base radius,c=.300m Depth =0.150m Density, p = 7200 kg/m3 Modulus of elasticity,E =148 GPa Poissons ratio.n=0.25 Ultimate strength, Sut = 428 MPa