Linear Speed Formula with Sample Problems

Linear Speed Formula :

Linear Speed Formula V (m/s ) in meter per second  is equal to Δs(m) in meter and divided by the Δt(s) in second. Hence the Linear Speed Formula can be written as,

V (m/s )=Δs(m)/Δt(s)

V→ velocity  in m/s

Where,

The distance travelled is s in m

The time taken is t in second

Linear speed formula in the sense of angular speed is articulated as,

V(m/s)=r (cm)(r)

V→ velocity  in m/s

R→ radius in cm

Where,

The angular speed is ω and

The radius of the circular path is r

Sample Problems :

Problem1 :

A body starting from rest moves with the acceleration of 4rad S-2 in a circle of radius 8m. compute the linear speed after 4s.

Solution :

Acceleration a=4rad S-2

Radius r=8m

Time t=4s

The angular velocity is given by

Ω=ω0+at

=0+4(4)

=16 rads-1

The linear speed is given by

V=r*ω

=8m*16 rads-1

=128m/s

Problem2 :

A body starting from rest moves with the acceleration of 9 rad S-2 in a circle of radius 4m. compute the linear speed after 6s.

Solution :

Acceleration a=9rad S-2

Radius r=4m

Time t=6s

The angular velocity is given by

Ω=ω0+at

=0+9(6)

=54 rads-1

The linear speed is given by

V=r*ω

=9m* 54 rads-1

=486m/s

Leave a Comment