question_answer

What is the value of linear velocity, if angular velocity is \[3\overset{\hat{\ }}{\mathop{i}}\,-4\overset{\hat{\ }}{\mathop{j}}\,+\overset{\hat{\ }}{\mathop{k}}\,\] and distance from the centre is \[5\overset{\hat{\ }}{\mathop{i}}\,-6\overset{\hat{\ }}{\mathop{j}}\,+6\overset{\hat{\ }}{\mathop{k}}\,\]

A) \[6\overset{\hat{\ }}{\mathop{i}}\,+6\overset{\hat{\ }}{\mathop{j}}\,-3\overset{\hat{\ }}{\mathop{k}}\,\]                         

B) \[18\overset{\hat{\ }}{\mathop{i}}\,+13\overset{\hat{\ }}{\mathop{j}}\,-2\overset{\hat{\ }}{\mathop{k}}\,\]

C) \[4\overset{\hat{\ }}{\mathop{i}}\,-13\overset{\hat{\ }}{\mathop{j}}\,+6\overset{\hat{\ }}{\mathop{k}}\,\]

D) \[6\overset{\hat{\ }}{\mathop{i}}\,-2\overset{\hat{\ }}{\mathop{j}}\,+8\overset{\hat{\ }}{\mathop{k}}\,\]