Question

If the angular speed of a 1. 1-m baseball bat is 2. 0 rad/s, what is the tangential speed of the tip of the bat?.

Answer 1

The tangential speed of the tip of the bat is 2.2 m/sec.

What is tangential speed?

Any item travelling in a circular direction has a tangential velocity, which is its linear speed. In one full round of a turntable, a point at the outside edge travels further than a point close to the center.

The formula for tangential velocity is given by-

$V_{r}$ = rω

r = radius of the circular path (m)

ω = angular speed

According to the question;

The angular speed of bat is  2. 0 rad/s.

The length of the bat is equal to radius of circular path = 1.1 m.

Angular speed = angular displacement/time

ω = Ф/t

2 = Ф/t

(∵ Ф = s/r); s is the actual distance travelled.

2 = s/(r×t)

s/t = r×2

    = 1.1×2

s/t = 2.2

v = 2.2 (∵ s/t = v)

Therefore, the tangential speed of the tip of the bat is v = 2.2 m/sec.

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