Answer:
10.53m/s²
Explanation:
Centripetal acceleration is the acceleration of an object about a circle. The formula for calculating centripetal acceleration is expressed by:
v is the velocity of the car = 24.5m/s
r is the radius of the track = 57.0m
Substitute the given values into the formula:
Hence the centripetal acceleration of the race car is 10.53m/s²
m x gm = 134
m x ge = 350
gm = 134/350 x 9.8 m/ = 3.752 m/
Answer:
principal stress σ = 46.46 MPa and -5.72 MPa
maximum shear stress = 26.08 MPa
Explanation:
given data
diameter = 5 cm = 50 mm
axial load = 80 kN = 80000 N
torque = 400 Nm - 400000 N-mm
to find out
principal stresses and shear stress
solution
we find first axial stress that is force / area
axial stress = 80000 / ( π/4×50² )
axial stress σ = 40.74 MPa
and
shear stress = torque × radius / area
shear stress = 400000 × 25 / ( π/4×50² )
shear stress τ = 16.3 MPa
so
principal stress will be
principal stress = σ/2 ± ..........1
principal stress σ = 40.74 /2 ±
principal stress σ = 46.46 MPa and -5.72 MPa
and
maximum shear stress is
maximum shear stress = ..........2
maximum shear stress =
maximum shear stress = 26.08 MPa