Question

At the equator earth rotates with a velocity of about 465 m/s.

Answer 1

a. This velocity in kilometers per hour is 1674 km/h

b. This velocity in kilometers per day is 40176 km/day

Further explanation

Acceleration is rate of change of velocity.

$\large {\boxed {a = \frac{v - u}{t} } }$

$\large {\boxed {d = \frac{v + u}{2}~t } }$

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem !

If earth rotates with a velocity of about 465 m/s at the equator , then it means that earth covers 465 metres in 1 second.

465 metres = 465 / 1000 kilometres = 0.465 kilometres

1 hour = 3600 seconds → 1 second = 1 / 3600 hour

1 day = 24 hours = 86400 seconds → 1 second =  1 / 86400 hour

The velocity in kilometres per hour can be calculated as following:

$velocity = 465 ~ m \div 1 ~ s$

$velocity = 0.465 ~ km \div \frac{1}{3600} ~ h$

$velocity = 0.465 \div \frac{1}{3600} ~ km/h$

$velocity = 0.465 \times 3600 ~ km/h$

$\boxed {velocity = 1674 ~ km/h}$

The velocity in kilometres per day can be calculated as following:

$velocity = 465 ~ m \div 1 ~ s$

$velocity = 0.465 ~ km \div \frac{1}{86400} ~ day$

$velocity = 0.465 \div \frac{1}{86400} ~ km/day$

$velocity = 0.465 \times 86400 ~ km/day$

$\boxed {velocity = 40176 ~ km/day}$

→ 465 m/s = 1674 km/h = 40176 km/day

Learn more

• Velocity of Runner : brainly.com/question/3813437
• Kinetic Energy : brainly.com/question/692781
• Acceleration : brainly.com/question/2283922
• The Speed of Car : brainly.com/question/568302

Answer details

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

Answer 2

The given velocity is 465 m/s.

Part a.
$465 \, \frac{m}{s} =(465 \times 10^{-3} \, \frac{km}{s})*( 3600 \, \frac{s}{h} ) = 1674 \, \frac{km}{h}$
Answer: 1674 km/h

Part b.
$1674 \frac{km}{h} = (1674 \, \frac{km}{h})*(24 \, \frac{h}{day} ) = 40176 \, \frac{km}{day}$
Answer: 40,176 km/day.