All categories

4 years ago

The earth rotates once per day about its axis. where would you have to stand in order to have the smallest tangential speed?

1 answer:

5 0

<span>The earth as a whole rotates with a fixed angular velocity. Therefore, you need to be at the rotation axis to have the smallest tangential speed. This would be at the north or south pole.</span>

You might be interested in

A 70 cm diameter wheel accelerates uniformly about its center from 130 rpm to 280 rpm in 4.0 s. determine (a) its angular accele

lina2011 [118]

Part a)

as we know that angular speed is given as

$\omega = 2 \pi f$

here we have

$f_2 = 280 rpm = 4.67Hz$

$f_1 = 130 rpm = 2.17 Hz$

now for angular acceleration we have

$\alpha = \frac{\omega_f - \omega_i}{\Delta t}$

$\alpha = \frac{2\pi(f_2 - f_1)}{\Delta t}$

$\alpha = \frac{2\pi(4.67 - 2.17)}{4}$

$\alpha = 3.93 rad/s^2$

Part b)

angular speed of the wheel after t = 2 s

$\omega_f = \omega_i + \alpha t$

$\omega_f = 2\pi (2.17) + 3.93 (2)$

$\omega_f = 21.5 rad/s$

now we have

tangential acceleration

$a_t = r \alpha$

$a_t = 0.70(3.93) = 2.75 m/s^2$

radial acceleration will be

$a_r = \omega^2 r$

$a_r = (21.5)^2(0.70) = 323.6 m/s^2$

3 0

3 years ago

A spring with spring constant 13.1 N/m hangs from the ceiling. A ball is suspended from the spring and allowed to come to rest.

Alenkinab [10]

Answer:

Explanation:

spring constant, K = 13.1 N/m

22 oscillations in 20 seconds

time taken to complete one oscillation is called time period.

T = 20 / 22 second = 0.909 seconds

(a) let m be the mass.

The formula for the time period is

$T = 2\pi \sqrt{\frac{m}{K}}$

$m = \frac{T^{2}K}{4\pi ^{2}}$

$m = \frac{0.909^{2}\times 13.1}{4\pi ^{2}}$

m = 0.275 kg

(b) maximum speed, v = ω A = 2π A / T

v = ( 2 x 31.4 x 0.1) / 0.909

v = 0.691 m/s

6 0

4 years ago

If the equilibrium system were stored in a vessel (with no heat transfer into or out of the vessel from the surroundings), predi

Vladimir79 [104]

The system will experience a reaction with adding of the element hydrochloric acid (HCl). The equilibrium is shifted and the potential energy, where it will be absorbed by the energetic component of the product as sch the overall temperature reading will also decrease as the heat due to potential energy is absorbed and/or contained.

8 0

4 years ago

What is a tool that can be used to measure the size of a force?

gayaneshka [121]

Newton meter
Torque wrench
Or Just a plain Scale

4 0

3 years ago

Read 2 more answers

Starting from rest a model rocket accelerates upwards at 24 m/s2. How fast will it be moving after it has traveled 192 meters?

Gekata [30.6K]

Answer: 96 m/s

Explanation:

Given information

Acceleration of rocket = 24 m/s2

Distance travelled by rocket = 192 meters.

To be calculated

Velocity of rocket at 192 meters = ?

Using 2nd equation of motion, the difference of square of final and initial velocity is equal to the 2 times the product of acceleration and distance.

v2 – u2 = 2as

v2 – 0 = 2 * 24 * 192 (intial velocity is 0, so u = 0)

v2 = 9216

v = $\sqrt9216$

v = 96 m/s

5 0

4 years ago