Question

Show.that:linear.velocity.=angular.velocity.multiply.radius.of.the.circle

Answer 1

Answer:

v=rω v=rω=(3959mi)(π12radhr)=3959π12mihr

Explanation:

To determine the linear velocity, we use the formula v=rω v=rω=(3959mi)(π12radhr)=3959π12mihr The linear velocity is approximately 1036.5 miles per hour.Angular speed ω does not change with radius, but linear speed v does. ... However, the angular speed of every person in the line is the same because they are moving through the same angle in the same amount of timeSince the arclength around a circle is given by the radius*angle (l = r*theta), you can convert an angular velocity w into linear velocity v by multiplying it by the radius r, so v = rw.