Velocity Triangle in Orthogonal Machining

Q. The rake angle of a cutting tool is ${15}^o$, shear angle ${45}^o$ and cutting velocity 35 m/min. What is the velocity of the chip along the tool face?

1. $28.5m/min$
2. $27.3m/min$
3. $25.3m/min$
4. $23.5m/min$

Q. The rake angle of a cutting tool is 15°, shear angle 45° and the cutting velocity 35 m/min. What is the velocity of chip along the tool face?

1. 28.57 m/min
2. 27.38 m/min
3. 25.32 m/min
4. 23.56 m/min

Q. If $\alpha$ is the rake angle of the cutting tool, $\varphi$ is, the shear angle, V is the cutting velocity and $V_c$ is the velocity of chip relative to tool, the velocity of chip sliding along the shear plane is given by

1. $\frac{V\sin \varphi }{\cos (\varphi -\alpha )}$
2. $\frac{V\cos \alpha }{\sin (\varphi -\alpha )}$
3. $\frac{V_C\cos \alpha }{\sin \left(\varphi \right)}$
4. $\frac{V_C\cos \alpha }{\cos (\varphi -\alpha )}$

Q. In an orthogonal cutting operation, cutting velocity is 40 m/min, shear angle ${34}^{\circ }$ nd rake angle is $5^{\circ }$, then the shear velocity is

1. 45.6 m/min
2. 43.3 m/min
3. 41.8 m/min
4. None

Q. If a is the rake angle of a cutting tool, $\varphi$ is the shear angle, then the ratio of velocity of chip to the shear velocity is given by

1. $\frac{\sin \varphi }{\cos \alpha }$
2. $\frac{\cos (\varphi -\alpha )}{\cos \alpha }$
3. $\frac{\sin \varphi }{\cos (\varphi -\alpha )}$
4. $\frac{\cos \alpha }{\sin \varphi }$

Q. In the oblique cutting of the plain turning process, the following 3 velocities were observed.

1. Cutting velocity
2. Shear velocity
3. Chip flow velocity

Write the above in the increasing order of their values

1. 3-2-1
2. 3-1-2
3. 1-3-2
4. 2-1-3

Q. An orthogonal turning operation is being carried out under the following conditions: The velocity of the tool relative to the workpiece is 3 m/sec, feed = 0.5 mm, chip thickness = 0.6 mm, The velocity of the chip relative to the tool is_________ m/sec.

1. 2.5

Q. In an orthogonal cutting operation, cutting velocity is 40 m/min, shear angle ${34}^{\circ }$ nd rake angle is $5^{\circ }$, then the shear velocity is

1. 45.6 m/min
2. 43.3 m/min
3. 41.8 m/min
4. None

Q. In orthogonal cutting operation, the ratio of the chip thickness to the depth of cut is 1.5. If the cutting speed is 10 m/s, then the chip flow velocity will be

1. 6.67 m/s
2. 10 m/s
3. 15 m/s
4. 20 m/s